CalculatorScale — 4,500+ Free Online Calculators and Converters
calculators calculatorscale.com • Free
📐 Math Category 433 Tools Available • 16 Subcategories

Math Calculators

Math can be exciting and easier than you think! With our collection of maths calculators, everyone can perform and understand useful mathematical calculations in seconds. Are you scared of trigonometry? Do you think geometry is “too complicated”? Fear not! We have your back, with a comprehensive array of calculators designed so that people with any level of mathematical knowledge can solve complex problems effortlessly. From our algebra calculators, through plenty percentage calculators to our trigonometry calculators, we’ve got everything you need. Whether you need a fraction calculator to simplify ratios or a square root calculator to check your homework... You name it, we have it! In addition to the top-notch mathematical calculators, we include accurate yet straightforward descriptions of mathematical concepts to shine some light on the complex problems you never seemed to understand

Displaying all 433 calculators across 16 subcategories
Browse all categories →

Percentages calculators 💯

17 tools
Top ↑
1 Popular

Percentage Calculator

Quickly solve percentage problems: What is X% of Y, X is what % of Y, percentage increase, decrease, and difference.

Calculate now
2

Percent Error Calculator

Calculate the percentage error between an experimental/observed value and a theoretical accepted value.

Calculate now
3 Percentages

Average Percentage Calculator

Calculate the overall weighted or unweighted average percentage across multiple test scores or components.

Calculate now
4 Percentages

Fraction to Percent Calculator

Convert any proper, improper, or mixed fraction directly into its exact decimal percentage equivalent.

Calculate now
5 Percentages

Decimal to Percent Converter

Convert decimal fractions into percentage notation (e.g., 0.075 to 7.5%).

Calculate now
6 Percentages

Doubling Time Calculator

Calculate the exact and approximate (Rule of 72) doubling time for exponential compounding growth.

Calculate now
7 Percentages

Percentage Change Calculator

Calculate the percentage increase or decrease between an old baseline value and a new value.

Calculate now
8 Percentages

Percentage Decrease Calculator

Calculate the percentage discount or reduction from an original price or measurement.

Calculate now
9 Percentages

Percentage Difference Calculator

Calculate the symmetric percentage difference between two positive numbers with no defined order.

Calculate now
10 Percentages

Percentage Increase Calculator

Calculate the percentage gain or markup from an original value to an increased value.

Calculate now
11 Percentages

Percentage Increase Classic

Classic percentage increase tool with step-by-step arithmetic steps and visual fraction breakups.

Calculate now
12 Percentages

Percentage of a Percentage Calculator

Calculate compound percentages (e.g., 20% of 30% of a number).

Calculate now
13 Percentages

Percentage Point Calculator

Distinguish between percentage point changes (absolute arithmetic difference) and relative percentage change.

Calculate now
14 Percentages

Time Percentage Calculator

Calculate what percentage of an hour, day, week, month, or year an elapsed time duration represents.

Calculate now
15 Percentages

Percent to Goal Calculator

Calculate progress percentage toward a target fundraising, fitness, or financial milestone.

Calculate now
16 Percentages

Relative Change Calculator

Calculate relative change (Δx / x_ref) and relative percentage difference between experimental metrics.

Calculate now
17 Percentages

Slope Percentage Calculator

Convert grade slope between percentage grade (rise/run × 100), angle in degrees, and pitch ratio.

Calculate now

Algebra calculators 🔡

49 tools
Top ↑
1 Algebra

Quadratic Formula Calculator

Solve second-degree quadratic equations ax² + bx + c = 0 for real and complex roots, discriminant, parabola vertex, focus, directrix, and step-by-step methods.

Calculate now
2 Algebra

Absolute Value Equation Calculator

Calculate absolute value equation calculator with step-by-step algebraic methods and mathematical proofs.

Calculate now
3 Algebra

Absolute Value Inequalities Calculator

Calculate absolute value inequalities calculator with step-by-step algebraic methods and mathematical proofs.

Calculate now
4 Algebra

Adding and Subtracting Polynomials Calculator

Calculate adding and subtracting polynomials calculator with step-by-step algebraic methods and mathematical proofs.

Calculate now
5 Algebra

Bessel Function Calculator

Calculate bessel function calculator with step-by-step algebraic methods and mathematical proofs.

Calculate now
6 Algebra

Binomial Coefficient Calculator

Calculate binomial coefficient calculator with step-by-step algebraic methods and mathematical proofs.

Calculate now
7 Algebra

Box Method Calculator

Calculate box method calculator with step-by-step algebraic methods and mathematical proofs.

Calculate now
8 Algebra

Completing the Square Calculator

Calculate completing the square calculator with step-by-step algebraic methods and mathematical proofs.

Calculate now
9 Algebra

Complex Conjugate Calculator

Calculate complex conjugate calculator with step-by-step algebraic methods and mathematical proofs.

Calculate now
10 Algebra

Complex Number Calculator

Calculate complex number calculator with step-by-step algebraic methods and mathematical proofs.

Calculate now
11 Algebra

Complex Root Calculator

Calculate complex root calculator with step-by-step algebraic methods and mathematical proofs.

Calculate now
12 Algebra

Cubic Equation Calculator

Calculate cubic equation calculator with step-by-step algebraic methods and mathematical proofs.

Calculate now
13 Algebra

Descartes' Rule of Signs Calculator

Calculate descartes' rule of signs calculator with step-by-step algebraic methods and mathematical proofs.

Calculate now
14 Algebra

Diamond Problem Calculator

Calculate diamond problem calculator with step-by-step algebraic methods and mathematical proofs.

Calculate now
15 Algebra

Direct Variation Calculator

Calculate direct variation calculator with step-by-step algebraic methods and mathematical proofs.

Calculate now
16 Algebra

Discriminant Calculator

Calculate discriminant calculator with step-by-step algebraic methods and mathematical proofs.

Calculate now
17 Algebra

Elimination Method Calculator

Calculate elimination method calculator with step-by-step algebraic methods and mathematical proofs.

Calculate now
18 Algebra

Error Function Calculator

Calculate error function calculator with step-by-step algebraic methods and mathematical proofs.

Calculate now
19 Algebra

Factoring Trinomials Calculator

Calculate factoring trinomials calculator with step-by-step algebraic methods and mathematical proofs.

Calculate now
20 Algebra

FOIL Calculator

Calculate foil calculator with step-by-step algebraic methods and mathematical proofs.

Calculate now
21 Algebra

Gamma Function Calculator

Calculate gamma function calculator with step-by-step algebraic methods and mathematical proofs.

Calculate now
22 Algebra

Generic Rectangle Calculator

Calculate generic rectangle calculator with step-by-step algebraic methods and mathematical proofs.

Calculate now
23 Algebra

Graphing Inequalities on a Number Line Calculator

Calculate graphing inequalities on a number line calculator with step-by-step algebraic methods and mathematical proofs.

Calculate now
24 Algebra

Graphing Quadratic Inequalities Calculator

Calculate graphing quadratic inequalities calculator with step-by-step algebraic methods and mathematical proofs.

Calculate now
25 Algebra

Hyperbolic Functions Calculator

Calculate hyperbolic functions calculator with step-by-step algebraic methods and mathematical proofs.

Calculate now
26 Algebra

Inequality to Interval Notation Calculator

Calculate inequality to interval notation calculator with step-by-step algebraic methods and mathematical proofs.

Calculate now
27 Algebra

Interval Notation Calculator

Calculate interval notation calculator with step-by-step algebraic methods and mathematical proofs.

Calculate now
28 Algebra

Inverse Variation Calculator

Calculate inverse variation calculator with step-by-step algebraic methods and mathematical proofs.

Calculate now
29 Algebra

Multiplying Binomials Calculator

Calculate multiplying binomials calculator with step-by-step algebraic methods and mathematical proofs.

Calculate now
30 Algebra

Multiplying Polynomials Calculator

Calculate multiplying polynomials calculator with step-by-step algebraic methods and mathematical proofs.

Calculate now
31 Algebra

Partial Fraction Decomposition Calculator

Calculate partial fraction decomposition calculator with step-by-step algebraic methods and mathematical proofs.

Calculate now
32 Algebra

Perfect Square Trinomial Calculator

Calculate perfect square trinomial calculator with step-by-step algebraic methods and mathematical proofs.

Calculate now
33 Algebra

Polynomial Division Calculator

Calculate polynomial division calculator with step-by-step algebraic methods and mathematical proofs.

Calculate now
34 Algebra

Power Set Calculator

Calculate power set calculator with step-by-step algebraic methods and mathematical proofs.

Calculate now
35 Algebra

Quaternion Calculator

Calculate quaternion calculator with step-by-step algebraic methods and mathematical proofs.

Calculate now
36 Algebra

Rational Zeros Calculator

Calculate rational zeros calculator with step-by-step algebraic methods and mathematical proofs.

Calculate now
37 Algebra

Square of a Binomial Calculator

Calculate square of a binomial calculator with step-by-step algebraic methods and mathematical proofs.

Calculate now
38 Algebra

Subset Calculator

Calculate subset calculator with step-by-step algebraic methods and mathematical proofs.

Calculate now
39 Algebra

Substitution Method Calculator

Calculate substitution method calculator with step-by-step algebraic methods and mathematical proofs.

Calculate now
40 Algebra

Synthetic Division Calculator

Calculate synthetic division calculator with step-by-step algebraic methods and mathematical proofs.

Calculate now
41 Algebra

System of Equations Calculator

Calculate system of equations calculator with step-by-step algebraic methods and mathematical proofs.

Calculate now
42 Algebra

Truth Table Generator

Calculate truth table generator with step-by-step algebraic methods and mathematical proofs.

Calculate now
43 Algebra

Union and Intersection Calculator

Calculate union and intersection calculator with step-by-step algebraic methods and mathematical proofs.

Calculate now
44 Linear Algebra

Cofactor Expansion Calculator

Calculate determinant using Laplace cofactor expansion along row 1.

Calculate now
45 Linear Algebra

Eigenvalue and Eigenvector Calculator

Compute eigenvalues of 2x2 matrix: λ = (tr ± √(tr² - 4 det)) / 2.

Calculate now
46 Linear Algebra

Inverse Matrix Calculator

Calculate 2x2 matrix inverse A⁻¹ = (1 / det(A)) × [[a22, -a12], [-a21, a11]].

Calculate now
47 Linear Algebra

Matrix Addition and Subtraction Calculator

Add or subtract two matrices element-wise: C_ij = A_ij ± B_ij.

Calculate now
48 Linear Algebra

Matrix Determinant Calculator

Calculate determinant of 2x2 matrix: det(A) = a11 a22 - a12 a21.

Calculate now
49 Linear Algebra

(Reduced) Row Echelon Form Calculator

Find RREF leading pivot positions and rank.

Calculate now

Arithmetic calculators ➗

81 tools
Top ↑
1

Number Sequence Calculator

Find the nth term and sum of arithmetic, geometric, and Fibonacci sequences.

Calculate now
2 Essential

Root Calculator

Calculate square roots (√x), cube roots (∛x), and arbitrary nth roots (ⁿ√x) with exact radical simplification (kⁿ√r), prime factorization, and decimal values.

Calculate now
3 Essential

Factor Calculator

Find all factors, factor pairs, prime factorization, and interactive factor trees of any positive or negative integer.

Calculate now
4 Essential

Rounding Calculator

Round numbers to whole integers, place values (Billions to Millionths), nearest multiples, or significant figures with 8 standard rounding modes.

Calculate now
5 Essential

Scientific Notation Calculator

Convert between standard decimal, scientific notation (a × 10^b), E-notation, and engineering notation, or perform arithmetic operations (+, −, ×, ÷, ^, √).

Calculate now
6 Essential

Prime Factorization Calculator

Decompose any integer into its unique prime factor product with interactive factor trees and division ladder steps.

Calculate now
7 Essential

Long Division Calculator

Perform step-by-step long division with quotient, remainder, mixed numbers, repeating decimal detection, and aligned visual tableaus.

Calculate now
8 Essential

Average Calculator

Calculate the arithmetic average (mean), median, mode, range, geometric mean, and step-by-step arithmetic proofs for any dataset.

Calculate now
9 Arithmetic

Absolute Change Calculator

Calculate the raw absolute difference |x2 - x1| between two numerical values.

Calculate now
10 Arithmetic

Absolute Value Calculator

Find the absolute magnitude distance |x| from zero along the real number line.

Calculate now
11 Arithmetic

Adding and Subtracting Fractions Calculator

Add or subtract two rational fractions with automatic common denominator reduction.

Calculate now
12 Arithmetic

Addition Calculator

Add multiple positive or negative integers and decimals with real-time column sum.

Calculate now
13 Arithmetic

Associative Property Calculator

Demonstrate that grouping does not change sum or product: (a + b) + c = a + (b + c).

Calculate now
14 Arithmetic

Ceiling Function Calculator

Compute the mathematical ceiling ceil(x) rounding up to the nearest integer.

Calculate now
15 Arithmetic

Chinese Remainder Theorem Calculator

Solve simultaneous modular congruence systems using CRT.

Calculate now
16 Arithmetic

Compatible Numbers Calculator

Estimate calculations rapidly by rounding numbers to compatible mental math pairs.

Calculate now
17 Arithmetic

Consecutive Integers Calculator

Generate consecutive integer sequences and compute their sequential sum and product.

Calculate now
18 Arithmetic

Cross Multiplication Calculator

Solve equivalent proportions a / b = c / d via cross products a*d = b*c.

Calculate now
19 Arithmetic

Cube Root Calculator

Calculate the exact real cube root ∛x of any positive or negative real number.

Calculate now
20 Arithmetic

Decimal Calculator

Perform precision decimal arithmetic operations (addition, subtraction, multiplication, division).

Calculate now
21 Arithmetic

Digital Root Calculator

Compute repeated single-digit sum (modulo 9 arithmetic) of large integers.

Calculate now
22 Arithmetic

Distributive Property Calculator

Demonstrate expansion a(b + c) = ab + ac.

Calculate now
23 Arithmetic

Divisibility Test Calculator

Check if an integer is evenly divisible by 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12.

Calculate now
24 Arithmetic

Division Calculator

Perform integer long division with whole quotient and exact remainder.

Calculate now
25 Arithmetic

Egyptian Fractions Calculator

Decompose any rational fraction p/q into a greedy sum of distinct unit fractions 1/n.

Calculate now
26 Arithmetic

Expanded Form Calculator

Expand whole numbers into powers of 10 positional notation.

Calculate now
27 Arithmetic

Factorial Calculator

Compute factorial n! = n × (n-1) × ... × 1 with Stirling approximations.

Calculate now
28 Arithmetic

Fermat's Little Theorem Calculator

Evaluate a^(p-1) ≡ 1 (mod p) for prime modulus p.

Calculate now
29 Arithmetic

Floor Division Calculator

Compute integer floor division a // b discarding fractional remainders.

Calculate now
30 Arithmetic

Floor Function Calculator

Find the largest integer less than or equal to real number x: floor(x).

Calculate now
31 Arithmetic

Fundamental Counting Principle Calculator

Calculate total compound outcomes across multiple sequential independent events.

Calculate now
32 Arithmetic

GCF Calculator – Greatest Common Factor

Find the greatest common factor (GCF / GCD) using Euclid's algorithm.

Calculate now
33 Arithmetic

GCF and LCM Calculator

Simultaneously compute GCF and LCM: GCF(a, b) × LCM(a, b) = |a × b|.

Calculate now
34 Arithmetic

Geometric Mean Calculator

Calculate geometric mean (Π xi)^(1/n) across proportional growth rates.

Calculate now
35 Arithmetic

Greater Than Or Less Than Calculator

Compare two real numbers and determine strict or non-strict inequality order.

Calculate now
36 Arithmetic

Harmonic Mean Calculator

Compute harmonic mean n / Σ(1/xi) for average rates, speeds, and ratios.

Calculate now
37 Arithmetic

Integer Calculator

Classify integer parity (even/odd), sign, primality, and divisors.

Calculate now
38 Arithmetic

Inverse Modulo Calculator

Find modular multiplicative inverse x such that (a × x) ≡ 1 (mod m).

Calculate now
39 Arithmetic

LCM Calculator — Least Common Multiple

Compute the least common multiple LCM(a, b) for scheduling and fraction common denominators.

Calculate now
40 Arithmetic

Long Addition Calculator

Step-by-step column addition with column carries.

Calculate now
41 Arithmetic

Long Multiplication Calculator

Perform multi-digit manual column multiplication with partial products.

Calculate now
42 Arithmetic

Long Subtraction Calculator

Column subtraction with regrouping / borrowing across columns.

Calculate now
43 Arithmetic

Magic Square Calculator

Compute the magic constant M = n(n² + 1) / 2 for an n×n normal magic square.

Calculate now
44 Arithmetic

Mean Calculator

Calculate standard arithmetic mean (average) μ = (Σ xi) / n.

Calculate now
45 Arithmetic

Modulo Calculator

Compute integer remainder and true mathematical modulo: r = a mod n.

Calculate now
46 Arithmetic

Multiplication Calculator

Multiply positive, negative, and fractional real numbers with instant result.

Calculate now
47 Arithmetic

Multiplicative Inverse Calculator

Compute reciprocal multiplicative inverse 1 / x where x × (1/x) = 1.

Calculate now
48 Arithmetic

Multiplicative Inverse Modulo Calculator

Find integer x where (a × x) ≡ 1 (mod m) via Extended Euclidean Algorithm.

Calculate now
49 Arithmetic

Order of Magnitude Calculator

Find the logarithmic order of magnitude floor(log10(x)) of scientific numbers.

Calculate now
50 Arithmetic

Partial Products Calculator

Break two-digit multiplication into distributive partial products.

Calculate now
51 Arithmetic

Perfect Cube Calculator

Check if integer n is a perfect cube and find its integer cube root.

Calculate now
52 Arithmetic

Perfect Square Calculator

Test if integer n is a square and calculate exact root √n.

Calculate now
53 Arithmetic

Pi Experiments Calculator

Estimate Archimedes' constant π via polygon circumscription and Monte Carlo ratios.

Calculate now
54 Arithmetic

Place Value Calculator

Identify place value (units, tens, hundreds, thousands) for any digit in an integer.

Calculate now
55 Arithmetic

Polish Notation Converter

Evaluate prefix (Polish) and postfix (Reverse Polish) token expressions.

Calculate now
56 Arithmetic

Power Mod Calculator

Fast modular exponentiation: compute (base^exp) mod m without large number overflow.

Calculate now
57 Arithmetic

Powers of i Calculator

Compute powers of the imaginary unit i^n using modulo 4 cycle (i, -1, -i, 1).

Calculate now
58 Arithmetic

Prime Number Calculator

Verify primality using trial division and 6k±1 deterministic testing.

Calculate now
59 Arithmetic

Quotient Calculator

Compute fractional and decimal division quotient a / b with precision.

Calculate now
60 Arithmetic

Radical Calculator

Compute and simplify n-th radical roots ⁿ√x.

Calculate now
61 Arithmetic

Rationalize Denominator Calculator

Rationalize radical denominators: a / √b = (a√b) / b.

Calculate now
62 Arithmetic

Rational or Irrational Calculator

Determine if a number or square root is rational (terminating/repeating) or irrational.

Calculate now
63 Arithmetic

Reciprocal Calculator

Calculate the decimal and fractional reciprocal 1/x of any non-zero number.

Calculate now
64 Arithmetic

Relatively Prime Calculator

Determine if two numbers are coprime: GCD(a, b) == 1.

Calculate now
65 Arithmetic

Remainder Calculator

Find the Euclidean remainder r = a - b × floor(a / b).

Calculate now
66 Arithmetic

Reverse FOIL Calculator

Factor quadratic trinomials x² + bx + c into (x + m)(x + n) with m+n=b, mn=c.

Calculate now
67 Arithmetic

Root Mean Square Calculator

Calculate RMS value: RMS = √((x1² + x2² + ... + xn²) / n).

Calculate now
68 Arithmetic

Round to the Nearest Thousand Calculator

Round integers and currency to the nearest thousand (1,000s place).

Calculate now
69 Arithmetic

Set Builder Calculator

Translate inequalities into set builder notation {x ∈ ℝ | a ≤ x ≤ b}.

Calculate now
70 Arithmetic

Significant Figures Calculator – Sig Fig

Count significant digits and round arithmetic results to correct sig figs.

Calculate now
71 Arithmetic

Simplify Cube Root Calculator

Extract perfect cube factors from radicand: ∛(a³ b) = a ∛b.

Calculate now
72 Arithmetic

Simplifying Radicals Calculator

Extract perfect square factors from square roots: √(a² b) = a √b.

Calculate now
73 Arithmetic

Square Root Calculator

Calculate the primary positive square root √x with Newton-Raphson precision.

Calculate now
74 Arithmetic

Standard Form Calculator

Convert numbers to scientific standard form a × 10^b with 1 <= |a| < 10.

Calculate now
75 Arithmetic

Subtracting Fractions Calculator

Subtract fractions with common denominator reduction: a/b - c/d.

Calculate now
76 Arithmetic

Subtraction Calculator

Calculate difference between two or three positive/negative numbers: a - b - c.

Calculate now
77 Arithmetic

Digit Sum Calculator

Compute the sum of all individual digits in a positive integer.

Calculate now
78 Arithmetic

Sum of Products Calculator

Compute dot product sum Σ (ai × bi) for arrays or weighted scores.

Calculate now
79 Arithmetic

Terminating Decimals Calculator

Check if fraction p/q terminates (denominator prime factors strictly 2 and 5).

Calculate now
80 Arithmetic

Triangular Numbers Calculator

Compute the n-th triangular number T_n = n(n + 1) / 2.

Calculate now
81 Arithmetic

Weighted Average Calculator

Calculate weighted arithmetic mean Σ(xi wi) / Σwi for course grades and portfolios.

Calculate now

Coordinate geometry calculators 📈

67 tools
Top ↑
1

Triangle Calculator

Solve any triangle (SSS, SAS, ASA, AAS, SSA) for sides, angles, area, perimeter, and inradius with dynamic visual diagram.

Calculate now
2 Geometry

Slope Calculator

Calculate slope (m), angle of incline (θ), Euclidean distance, percentage grade, line equations (slope-intercept, point-slope, standard), and 2D coordinate graphs.

Calculate now
3 Geometry & GIS

Distance Calculator

Calculate 2D plane distances, 3D spatial distances, spherical geodesic flight distances on Earth (Haversine formula), and interactive map measurements.

Calculate now
4 Coordinate Geometry

Average Rate of Change Calculator

Calculate secant slope Δy / Δx = (f(b) - f(a)) / (b - a).

Calculate now
5 Coordinate Geometry

Bilinear Interpolation Calculator

Interpolate 2D grid surface values f(x, y) from four bounding corner coordinates.

Calculate now
6 Coordinate Geometry

Catenary Curve Calculator

Compute sag and height along hanging cable catenary y = a × cosh(x / a).

Calculate now
7 Coordinate Geometry

Coordinate Grid Calculator

Plot Cartesian coordinates and determine quadrant (I, II, III, IV) or axis.

Calculate now
8 Coordinate Geometry

Cosine Similarity Calculator

Calculate cosine similarity cos(θ) = (A · B) / (||A|| ||B||) between two 3D vectors.

Calculate now
9 Coordinate Geometry

Cross Product Calculator

Compute 3D vector cross product A × B and orthogonal magnitude ||A × B||.

Calculate now
10 Coordinate Geometry

Cylindrical Coordinates Calculator

Convert between Cartesian (x, y, z) and cylindrical (r, θ, z) coordinates.

Calculate now
11 Coordinate Geometry

Direction of the Vector Calculator

Calculate 2D direction angle θ = arctan(y / x) in standard position (0° to 360°).

Calculate now
12 Coordinate Geometry

Distance Formula Calculator

Find Euclidean distance d = √((x2 - x1)² + (y2 - y1)²) between two points.

Calculate now
13 Coordinate Geometry

Distance from Point to Plane Calculator

Find perpendicular distance D = |Ax0 + By0 + Cz0 + D| / √(A² + B² + C²).

Calculate now
14 Coordinate Geometry

Dot Product Calculator

Calculate scalar dot product A · B = x1 x2 + y1 y2 + z1 z2.

Calculate now
15 Coordinate Geometry

Endpoint Calculator

Find unknown endpoint (x2, y2) given starting point and midpoint (xm, ym).

Calculate now
16 Coordinate Geometry

Equation of a Plane Calculator

Determine general plane equation A(x - x0) + B(y - y0) + C(z - z0) = 0.

Calculate now
17 Coordinate Geometry

Equation of a Sphere Calculator

Evaluate sphere equation (x - h)² + (y - k)² + (z - l)² = r².

Calculate now
18 Coordinate Geometry

Gradient Calculator

Calculate 2D scalar field gradient magnitude ||∇f|| = √((∂f/∂x)² + (∂f/∂y)²).

Calculate now
19 Coordinate Geometry

Intersection of Two Lines Calculator

Find intersection (x, y) of y = m1 x + b1 and y = m2 x + b2.

Calculate now
20 Coordinate Geometry

Irregular Polygon Area Calculator

Compute irregular 2D polygon area via Gauss's Shoelace formula.

Calculate now
21 Coordinate Geometry

Latus Rectum Calculator

Calculate latus rectum length of parabola y² = 4ax (LR = 4a) or ellipse 2b²/a.

Calculate now
22 Coordinate Geometry

Least Squares Regression Line Calculator

Calculate best-fit linear regression slope m = cov(x,y)/var(x) and intercept b.

Calculate now
23 Coordinate Geometry

Linear Interpolation Calculator

Interpolate intermediate values: y = y1 + (x - x1) × (y2 - y1) / (x2 - x1).

Calculate now
24 Coordinate Geometry

Line Equation from Two Points Calculator

Find slope m and y-intercept b of line passing through (x1, y1) and (x2, y2).

Calculate now
25 Coordinate Geometry

Line of Intersection of Two Planes Calculator

Find direction vector v = n1 × n2 of intersection line between two planes.

Calculate now
26 Coordinate Geometry

Manhattan Distance Calculator

Calculate L1 taxicab distance d = |x2 - x1| + |y2 - y1| between grid points.

Calculate now
27 Coordinate Geometry

Midpoint Calculator

Compute midpoint coordinates xm = (x1 + x2)/2 and ym = (y1 + y2)/2.

Calculate now
28 Coordinate Geometry

Parabola Calculator

Find vertex (h, k), focus (h, k + 1/(4a)), and directrix of y = ax² + bx + c.

Calculate now
29 Coordinate Geometry

Parallel Line Calculator

Find equation of parallel line y = m x + b2 passing through point (x0, y0).

Calculate now
30 Coordinate Geometry

Perpendicular Line Calculator

Find equation of perpendicular line with slope m_perp = -1 / m.

Calculate now
31 Coordinate Geometry

Point Slope Form Calculator

Convert point-slope y - y1 = m(x - x1) to slope-intercept y = mx + b.

Calculate now
32 Coordinate Geometry

Polar Coordinates Calculator

Convert between polar (r, θ) and Cartesian (x = r cos θ, y = r sin θ).

Calculate now
33 Coordinate Geometry

Polynomial Graphing Calculator

Evaluate polynomial values, critical turning points, and y-intercept.

Calculate now
34 Coordinate Geometry

Ratios of Directed Line Segments Calculator

Partition line segment in ratio m : n using section formula P = (m x2 + n x1)/(m + n).

Calculate now
35 Coordinate Geometry

Rise Over Run Calculator

Calculate slope m = Rise / Run and angle θ = arctan(m).

Calculate now
36 Coordinate Geometry

Rotation Calculator

Rotate point (x, y) by angle θ: x' = x cos θ - y sin θ, y' = x sin θ + y cos θ.

Calculate now
37 Coordinate Geometry

Scatter Plot Calculator

Calculate Pearson correlation coefficient r and centroid (x̄, ȳ) for scatter points.

Calculate now
38 Coordinate Geometry

Slope Intercept Form Calculator

Calculate y-intercept b = y - mx and x-intercept -b/m from slope and coordinate.

Calculate now
39 Coordinate Geometry

Spherical Coordinates Calculator

Convert Cartesian (x, y, z) to spherical (ρ, θ, φ): ρ = √(x² + y² + z²).

Calculate now
40 Coordinate Geometry

Standard Form to Slope Intercept Form Calculator

Convert Ax + By = C into slope-intercept form y = (-A/B)x + (C/B).

Calculate now
41 Coordinate Geometry

Three-Dimensional Distance Calculator

Compute 3D Euclidean distance d = √((x2-x1)² + (y2-y1)² + (z2-z1)²).

Calculate now
42 Coordinate Geometry

Triangulation Calculator

Determine unknown target location from baseline distance and two interior observation angles.

Calculate now
43 Coordinate Geometry

Unit Vector Calculator

Normalize vector to unit length u = V / ||V||.

Calculate now
44 Coordinate Geometry

Vector Calculator

Perform 2D/3D vector magnitude, angle, and scalar multiplication operations.

Calculate now
45 Coordinate Geometry

Vector Addition Calculator

Add two vectors component-wise: C = A + B.

Calculate now
46 Coordinate Geometry

Vector Magnitude Calculator

Calculate Euclidean vector norm ||V|| = √(x² + y² + z²).

Calculate now
47 Coordinate Geometry

Vector Projection Calculator

Compute vector projection of A onto B: proj_B(A) = ((A · B) / ||B||²) × B.

Calculate now
48 Coordinate Geometry

Vertex Form Calculator

Convert standard quadratic y = ax² + bx + c into vertex form y = a(x - h)² + k.

Calculate now
49 Coordinate Geometry

Volume of a Parallelepiped Calculator

Compute 3D parallelepiped volume via scalar triple product |A · (B × C)|.

Calculate now
50 Coordinate Geometry

y Intercept Calculator

Find y-intercept coordinate (0, b) from slope m and point (x, y).

Calculate now
51 2D Geometry

Area of a Rectangle Calculator

Calculate rectangle area A = l × w and perimeter P = 2(l + w).

Calculate now
52 2D Geometry

Area of Crescent Calculator

Calculate area of a crescent moon / lune bounded by two circular arcs.

Calculate now
53 2D Geometry

Möbius Strip Calculator

Calculate surface area of a single-sided Möbius band A = 2π r w.

Calculate now
54 2D Geometry

Quiz: Area of a Rectangle Calculator

Interactive practice tool for rectangle area and perimeter drills.

Calculate now
55 2D Geometry

Polygon Calculator

Calculate interior angles, perimeter, and area for any regular n-sided polygon.

Calculate now
56 2D Geometry

Square Calc: find A, P, d

Calculate square area A = s², perimeter P = 4s, and diagonal d = s√2.

Calculate now
57 3D Geometry

Surface Area of a Hemisphere Calculator

Calculate hemisphere total surface area A = 3 π r² (including circular base) or curved 2πr².

Calculate now
58 3D Geometry

Cube Calc: find V, a, d

Find edge length a, volume V, and diagonal d from any given dimension.

Calculate now
59 3D Geometry

Quiz: Cylinder Volume Calculator

Interactive cylinder volume practice: V = π r² h.

Calculate now
60 3D Geometry

Quiz: Cylinder Volume Liters Calculator

Calculate cylinder liquid storage capacity in liters: Liters = π r² h × 1,000 (with r, h in meters).

Calculate now
61 3D Geometry

Right Circular Cone Calc: find A, V, A_L, A_B.

Calculate cone volume V = (1/3)π r² h, lateral area A_L = π r s, and base area A_B = π r².

Calculate now
62 3D Geometry

Right Cylinder Calculator: find A, V, A_l, A_b

Calculate right cylinder volume V = π r² h and total surface area A = 2πr² + 2πrh.

Calculate now
63 3D Geometry

Right Rectangular Pyramid Calc: find A, V, A_l, A_b

Calculate rectangular pyramid volume V = (1/3) l w h and total surface area.

Calculate now
64 3D Geometry

Sphere Calc: find V, A, d

Calculate sphere volume V = (4/3) π r³, surface area A = 4 π r², and diameter d = 2r.

Calculate now
65 3D Geometry

Surface Area to Volume Ratio Calculator

Calculate SA/V ratio for cell biology, nanostructures, and cooling heat sinks.

Calculate now
66 3D Geometry

Volume of a Hemisphere Calculator

Calculate hemisphere volume V = (2/3) π r³.

Calculate now
67 3D Geometry

Volume of a Trapezoidal Prism Calculator

Calculate trapezoidal prism volume V = 0.5(a + b)h × L.

Calculate now

Fractions calculators 🍕

20 tools
Top ↑
1

Fraction Calculator

Add, subtract, multiply, and divide fractions and mixed numbers with step-by-step simplification.

Calculate now
2 Proportions

Ratio Calculator

Solve proportions (A:B = C:D) via cross-multiplication, find missing values, and scale ratios (shrink or enlarge) with GCD reduction.

Calculate now
3 Fractions

Adding Fractions Calculator

Add two proper, improper, or mixed fractions: a/b + c/d.

Calculate now
4 Fractions

Comparing Fractions Calculator

Compare two fractions a/b and c/d using cross multiplication ad vs bc.

Calculate now
5 Fractions

Decimal to Fraction Calculator

Convert terminating or repeating decimals into exact reduced rational fractions.

Calculate now
6 Fractions

Dividing Fractions Calculator

Divide fractions by multiplying by the reciprocal: (a/b) ÷ (c/d) = (a×d) / (b×c).

Calculate now
7 Fractions

Equivalent Fractions Calculator

Generate family of equivalent fractions by scaling numerator and denominator by k.

Calculate now
8 Fractions

Fraction Exponent Calculator

Evaluate fractional rational powers b^(p/q) = ⁿ√(bᵖ).

Calculate now
9 Fractions

Fraction To Decimal Converter

Convert any numerator and denominator into exact floating point decimal.

Calculate now
10 Fractions

Golden Ratio Calculator

Compute golden ratio proportions φ = (1 + √5) / 2 ≈ 1.6180339887.

Calculate now
11 Fractions

Improper Fraction to Mixed Number Calculator

Convert improper fraction p/q into mixed number W and R/q.

Calculate now
12 Fractions

LCD Calculator - Least Common Denominator

Find least common denominator LCD(b, d) = LCM(b, d) to add fractions.

Calculate now
13 Fractions

Least To Greatest Fraction Calculator

Order a set of fractions from smallest to largest by normalizing to LCD.

Calculate now
14 Fractions

Lowest Term Calculator

Reduce fraction to lowest terms by dividing numerator and denominator by GCD.

Calculate now
15 Fractions

Mixed Number Calculator

Perform arithmetic operations on mixed numbers: W1 n1/d1 ± W2 n2/d2.

Calculate now
16 Fractions

Mixed Number to Improper Fraction Calculator

Convert mixed number W n/d into improper numerator (W × d + n) / d.

Calculate now
17 Fractions

Multiplying Fractions Calculator

Multiply two fractions: (a/b) × (c/d) = (a × c) / (b × d).

Calculate now
18 Fractions

Proportion Calculator

Solve proportional equality a / b = c / d for unknown fourth variable.

Calculate now
19 Fractions

Simplify Fractions Calculator

Simplify any fraction p/q to canonical reduced representation.

Calculate now
20 Fractions

Unit Rate Calculator

Compute unit rate (per 1 unit price, speed, or yield): Unit Rate = Quantity / Units.

Calculate now

Linear algebra calculators 🔢

31 tools
Top ↑
1 Essential

Matrix Calculator

Perform matrix addition, subtraction, multiplication, determinants, inverses, transposes, powers, and rank with exact rational arithmetic.

Calculate now
2 Linear Algebra

Adjoint Matrix Calculator

Compute the adjugate / adjoint matrix adj(A) = C^T composed of transposed cofactors.

Calculate now
3 Linear Algebra

Characteristic Polynomial Calculator

Compute characteristic polynomial p(λ) = det(A - λI) for 2x2 matrix: λ² - tr(A)λ + det(A).

Calculate now
4 Linear Algebra

Cholesky Decomposition Calculator

Decompose symmetric positive-definite matrix A = L L^T into lower triangular L.

Calculate now
5 Linear Algebra

Cofactor Matrix Calculator

Compute cofactor matrix C_ij = (-1)^(i+j) M_ij.

Calculate now
6 Linear Algebra

Column Space Calculator

Determine dimension of column space (column rank) of a matrix.

Calculate now
7 Linear Algebra

Condition Number Calculator

Compute matrix condition number κ(A) = ||A|| ||A⁻¹|| to evaluate numerical inversion stability.

Calculate now
8 Linear Algebra

Corner Point Calculator

Find vertex corner points of 2D linear programming feasible inequality region.

Calculate now
9 Linear Algebra

Cramer's Rule Calculator

Solve 2x2 linear equations Ax = b via determinants: x1 = det(A1)/det(A), x2 = det(A2)/det(A).

Calculate now
10 Linear Algebra

Diagonalize Matrix Calculator

Diagonalize matrix A = P D P⁻¹ using eigenvalues λ1, λ2.

Calculate now
11 Linear Algebra

Gauss-Jordan Elimination Calculator

Perform forward elimination and back substitution to reduce matrix to RREF.

Calculate now
12 Linear Algebra

Gram-Schmidt Calculator

Orthogonalize basis vectors: u2 = v2 - proj_u1(v2).

Calculate now
13 Linear Algebra

Hadamard Product Calculator

Compute element-wise entry multiplication C_ij = A_ij × B_ij.

Calculate now
14 Linear Algebra

Linear Combination Calculator

Calculate scalar combination c1 v1 + c2 v2 of vectors.

Calculate now
15 Linear Algebra

Linear Independence Calculator

Determine if vectors are linearly independent by checking determinant det([v1, v2]) != 0.

Calculate now
16 Linear Algebra

LU Decomposition Calculator

Factor matrix A = L U into lower triangular L and upper triangular U.

Calculate now
17 Linear Algebra

Matrix by Scalar Calculator

Multiply every matrix element by scalar k: B_ij = k × A_ij.

Calculate now
18 Linear Algebra

Matrix Multiplication Calculator

Compute matrix dot product C = A × B for 2x2 matrices.

Calculate now
19 Linear Algebra

Matrix Norm Calculator

Calculate Frobenius norm ||A||_F = √(Σ A_ij²) and 1-norm (max column sum).

Calculate now
20 Linear Algebra

Matrix Power Calculator

Compute powers of diagonal or 2x2 matrix A^k.

Calculate now
21 Linear Algebra

Matrix Rank Calculator

Determine row rank / column rank (number of linearly independent rows).

Calculate now
22 Linear Algebra

Matrix Trace Calculator

Calculate matrix trace tr(A) = Σ a_ii (sum of main diagonal entries).

Calculate now
23 Linear Algebra

Matrix Transpose Calculator

Transpose matrix A^T exchanging rows and columns: (A^T)_ij = A_ji.

Calculate now
24 Linear Algebra

Null Space Calculator

Calculate nullity = dim(Ker A) = n - rank(A) using Rank-Nullity Theorem.

Calculate now
25 Linear Algebra

Polar Decomposition Calculator

Decompose square matrix A = U P into unitary U and positive semi-definite P.

Calculate now
26 Linear Algebra

Pseudoinverse Calculator

Compute Moore-Penrose pseudoinverse A⁺ = (A^T A)⁻¹ A^T for least-squares.

Calculate now
27 Linear Algebra

QR Decomposition Calculator

Factor matrix A = Q R into orthogonal Q (Q^T Q = I) and upper triangular R.

Calculate now
28 Linear Algebra

Singular Values Calculator

Compute singular values σ = √(eigenvalues(A^T A)).

Calculate now
29 Linear Algebra

SVD Calculator

Singular Value Decomposition A = U Σ V^T for dimensionality reduction.

Calculate now
30 Linear Algebra

Tensor Product Calculator

Compute Kronecker matrix product A ⊗ B.

Calculate now
31 Sequences

Sum of a Linear Number Sequence Calculator

Compute sum of arithmetic progression S_n = n × (a1 + an) / 2.

Calculate now

Trigonometry calculators 📐

24 tools
Top ↑
1 Trigonometry

Arccos Calculator (Inverse Cosine)

Calculate inverse cosine arccos(x) in degrees and radians for -1 <= x <= 1.

Calculate now
2 Trigonometry

Arcsin Calculator (Inverse Sine)

Calculate inverse sine arcsin(x) in degrees and radians for -1 <= x <= 1.

Calculate now
3 Trigonometry

Arctan Calculator (Inverse Tangent)

Calculate inverse tangent arctan(x) in degrees and radians for all real x.

Calculate now
4 Trigonometry

Cofunction Calculator

Evaluate cofunction identities: sin(θ) = cos(90° - θ), tan(θ) = cot(90° - θ).

Calculate now
5 Trigonometry

Cosecant Calculator

Calculate reciprocal sine csc(θ) = 1 / sin(θ) for any angle.

Calculate now
6 Trigonometry

Cosine Calculator

Compute cosine cos(θ) = adjacent / hypotenuse for any angle in degrees or radians.

Calculate now
7 Trigonometry

Cotangent Calculator

Compute reciprocal tangent cot(θ) = 1 / tan(θ) = cos(θ) / sin(θ).

Calculate now
8 Trigonometry

Double Angle Formula Calculator

Evaluate sin(2θ) = 2 sin θ cos θ and cos(2θ) = cos² θ - sin² θ.

Calculate now
9 Trigonometry

Half Angle Calculator

Evaluate sin(θ/2) = ±√((1 - cos θ) / 2) and cos(θ/2) = ±√((1 + cos θ) / 2).

Calculate now
10 Trigonometry

Inverse Trigonometric Functions Calculator

Simultaneously evaluate arcsin, arccos, and arctan with principal domain angles.

Calculate now
11 Trigonometry

Law of Cosines Calculator

Solve unknown side or angle in any triangle: c² = a² + b² - 2ab cos(C).

Calculate now
12 Trigonometry

Law of Sines Calculator

Solve triangle proportions: a / sin(A) = b / sin(B) = c / sin(C).

Calculate now
13 Trigonometry

Phase Shift Calculator

Calculate phase shift c / b and horizontal displacement for y = A sin(bx - c) + d.

Calculate now
14 Trigonometry

Power Reducing Calculator

Reduce trigonometric powers: sin²(θ) = (1 - cos 2θ)/2, cos²(θ) = (1 + cos 2θ)/2.

Calculate now
15 Trigonometry

Quiz: Right Triangle Side and Angle Calculator

Interactive right triangle solver: hypotenuse c = √(a² + b²), angle θ = arctan(b/a).

Calculate now
16 Trigonometry

Quiz: Trigonometry Calculator

Test trigonometric identity values and compute primary ratios for acute angles.

Calculate now
17 Trigonometry

Secant Calculator

Calculate reciprocal cosine sec(θ) = 1 / cos(θ).

Calculate now
18 Trigonometry

Sine Calculator

Compute sine sin(θ) = opposite / hypotenuse for any angle.

Calculate now
19 Trigonometry

Sum and Difference Identities Calculator

Evaluate sin(α ± β) = sin α cos β ± cos α sin β.

Calculate now
20 Trigonometry

Tangent Calculator

Calculate tangent tan(θ) = sin(θ) / cos(θ) = opposite / adjacent.

Calculate now
21 Trigonometry

Trig Identities Calculator

Verify Pythagorean identity sin²(θ) + cos²(θ) = 1 and 1 + tan²(θ) = sec²(θ).

Calculate now
22 Trigonometry

Trigonometric Functions Calculator

Simultaneously compute all 6 fundamental trigonometric functions: sin, cos, tan, csc, sec, cot.

Calculate now
23 Trigonometry

Trigonometry Calculator

Comprehensive trigonometric angle and ratio calculator with degree/radian output.

Calculate now
24 Trigonometry

Unit Circle Calculator

Find exact coordinate pair (cos θ, sin θ) on the unit circle x² + y² = 1.

Calculate now

2D geometry calculators 📏

21 tools
Top ↑
1 Geometry

Area Calculator

Calculate the 2D surface area, perimeter, circumference, and arc length for 7 geometric shapes with multi-unit conversions (m², ft², acres, hectares).

Calculate now
2 2D Geometry

Center of Mass Calculator

Find 2D planar center of mass coordinates X_cm = Σ(mi xi) / Σmi, Y_cm = Σ(mi yi) / Σmi.

Calculate now
3 2D Geometry

Centroid Calculator

Compute geometric centroid coordinates (x̄, ȳ) for a triangle: x̄ = (x1+x2+x3)/3.

Calculate now
4 2D Geometry

Chord Length Calculator

Calculate circular chord length c = 2r sin(θ / 2).

Calculate now
5 2D Geometry

Conic Sections Calculator

Classify conic section Ax² + Bxy + Cy² + Dx + Ey + F = 0 by discriminant B² - 4AC.

Calculate now
6 2D Geometry

Cross-Sectional Area Calculator

Calculate cross-sectional area of solid and hollow pipes, beams, and rods.

Calculate now
7 2D Geometry

Cycloid Calculator

Calculate cycloid arch area A = 3πr² and total arch length L = 8r.

Calculate now
8 2D Geometry

Ellipse Calculator

Calculate ellipse area A = π a b and Ramanujan approximate perimeter.

Calculate now
9 2D Geometry

Golden Rectangle Calculator

Calculate golden rectangle dimensions using ratio φ = 1.6180339887.

Calculate now
10 2D Geometry

Hexagon Calculator

Calculate regular hexagon area A = (3√3 / 2) s² and perimeter P = 6s.

Calculate now
11 2D Geometry

Moment of Inertia Calculator

Calculate second moment of area (area moment of inertia) for rectangular cross-section I = b h³ / 12.

Calculate now
12 2D Geometry

Octagon Calculator

Calculate regular octagon area A = 2(1 + √2) s² and perimeter P = 8s.

Calculate now
13 2D Geometry

Orthocenter Calculator

Find coordinates of orthocenter H (altitude intersection) in a triangle.

Calculate now
14 2D Geometry

Pentagon Calculator

Calculate regular pentagon area A = 0.25 √(5(5 + 2√5)) s² and perimeter P = 5s.

Calculate now
15 2D Geometry

Perimeter Calculator

Calculate perimeter for rectangles, triangles, circles, and regular polygons.

Calculate now
16 2D Geometry

Quadrilateral Calculator

Calculate area of convex quadrilateral via Bretschneider's formula.

Calculate now
17 2D Geometry

Segment Addition Postulate Calculator

Verify that if B is between A and C, then AB + BC = AC.

Calculate now
18 2D Geometry

Segment Area Calculator

Calculate circular segment area A = 0.5 r² (θ - sin θ).

Calculate now
19 2D Geometry

Spiral Length Calculator

Calculate Archimedean spiral arc length L = 0.5 a (θ √(1+θ²) + ln(θ + √(1+θ²))).

Calculate now
20 2D Geometry

Star Shape Calculator

Calculate area and perimeter of a regular 5-pointed star (pentagram).

Calculate now
21 2D Geometry

Trapezoid Calculator

Calculate trapezoid area A = 0.5(a + b)h and median length m = 0.5(a + b).

Calculate now

Triangle calculators 🔺

20 tools
Top ↑
1 Right Triangles

Pythagorean Theorem Calculator

Solve right triangle side lengths (a² + b² = c²), acute angles, altitude, area, and perimeter with exact radical support (k√r).

Calculate now
2 Popular

Right Triangle Calculator

Calculate sides, acute angles (degrees and radians with π-fractions), area, perimeter, altitude, inradius, and trigonometric ratios for any right triangle given any 2 parameters.

Calculate now
3 Triangles

30 60 90 Triangle Calculator

Solve 30°-60°-90° special right triangle: side ratios 1 : √3 : 2.

Calculate now
4 Triangles

45 45 90 Triangle Calculator

Solve 45°-45°-90° isosceles right triangle: side ratios 1 : 1 : √2.

Calculate now
5 Triangles

Area of a Right Triangle Calculator

Calculate area of right triangle A = 0.5 × a × b from legs a and b.

Calculate now
6 Triangles

Circumscribed Circle Calculator

Calculate circumradius R = (a b c) / (4 Area) of triangle circumcircle.

Calculate now
7 Triangles

Classifying Triangles Calculator

Classify triangle by side lengths (equilateral, isosceles, scalene) and angles (acute, right, obtuse).

Calculate now
8 Triangles

Equilateral Triangle Calculator

Calculate equilateral triangle area A = (√3 / 4) s² and height h = (√3 / 2) s.

Calculate now
9 Triangles

Heron's Formula Calculator

Calculate triangle area from 3 side lengths: A = √(s(s-a)(s-b)(s-c)) with s=(a+b+c)/2.

Calculate now
10 Triangles

Hypotenuse Calculator

Calculate hypotenuse c = √(a² + b²) for any right triangle.

Calculate now
11 Triangles

Isosceles Triangle Calculator

Calculate isosceles triangle area A = 0.5 × b × √(a² - 0.25 b²).

Calculate now
12 Triangles

Perimeter of a Triangle Calculator

Calculate triangle perimeter P = a + b + c and semi-perimeter s = P / 2.

Calculate now
13 Triangles

Pythagorean Triples Calculator

Generate primitive Pythagorean triples (a = m² - n², b = 2mn, c = m² + n²).

Calculate now
14 Triangles

Right Triangle Side and Angle Calculator

Solve all unknown sides and angles for any right-angled triangle.

Calculate now
15 Triangles

Similar Triangles Calculator

Solve proportional side lengths in similar geometric triangles: a1 / a2 = b1 / b2.

Calculate now
16 Triangles

Special Right Triangles Calculator

Solve 30-60-90 and 45-45-90 special right triangles with exact radical ratios.

Calculate now
17 Triangles

Triangle Angle Calculator

Find third triangle angle: C = 180° - (A + B).

Calculate now
18 Triangles

Triangle Area Calculator

Calculate triangle area A = 0.5 × base × height.

Calculate now
19 Triangles

Triangle Height Calculator

Calculate perpendicular altitude height h = (2 × Area) / base.

Calculate now
20 Triangles

Triangle Inequality Theorem Calculator

Verify if 3 side lengths form a valid non-degenerate triangle: a + b > c.

Calculate now

Circle calculators ⭕

13 tools
Top ↑
1 Geometry

Circle Calculator

Interconnected 4-way circle solver: enter any one parameter (radius, diameter, circumference, or area) to calculate the remaining values with exact multiples of π.

Calculate now
2 Circles

Arc Length Calculator

Calculate circular arc length s = r × θ (with θ in radians) or s = 2πr × (θ° / 360°).

Calculate now
3 Circles

Area of a Circle Calculator

Calculate circle area A = π r² = (π / 4) d².

Calculate now
4 Circles

Circle Theorems Calculator

Evaluate inscribed angle theorem (inscribed angle = 0.5 × central angle) and tangent-chord angles.

Calculate now
5 Circles

Circumference Calculator

Calculate circle perimeter circumference C = 2 π r = π d.

Calculate now
6 Circles

Circumference-to-Radius Calculator

Convert circle circumference C back into radius r = C / (2π) and diameter d = C / π.

Calculate now
7 Circles

Coin Rotation Paradox

Calculate extra rotations when rolling coin around another coin: Rotations = 1 + R_fixed / R_rolling.

Calculate now
8 Circles

Equation of a Circle Calculator

Find center (h, k) and radius r from circle equation (x - h)² + (y - k)² = r².

Calculate now
9 Circles

Sector Area Calculator

Calculate circular sector area A = 0.5 r² θ = π r² (θ° / 360°).

Calculate now
10 Circles

Semicircle Area Calculator

Calculate semicircle area A = 0.5 π r² and perimeter P = π r + 2r.

Calculate now
11 Circles

Square in a Circle Calculator

Calculate largest square inscribed in a circle of radius r: side s = r√2.

Calculate now
12 Circles

String Girdling Earth Calculator

Calculate radial height lift when adding length ΔC to circumferential rope: Δr = ΔC / (2π).

Calculate now
13 Circles

Tangent of a Circle Calculator

Verify perpendicular radius-tangent angle (90°) and calculate tangent segment length from external point.

Calculate now

Angle calculators 🕑

7 tools
Top ↑

3D geometry calculators 📦

16 tools
Top ↑
1

Volume Calculator

Calculate the volume of 3D geometric shapes: Sphere, Cylinder, Cube, Rectangular Prism, Cone, and Pyramid.

Calculate now
2 3D Geometry

Surface Area Calculator

Calculate the total surface area, lateral surface area, and base areas of 10 different 3D geometric shapes with multi-unit conversions.

Calculate now
3 3D Geometry

Cube Calculator

Calculate cube volume V = a³, surface area A = 6a², and space diagonal d = a√3.

Calculate now
4 3D Geometry

Ellipsoid Volume Calculator

Calculate ellipsoid volume V = (4/3) π a b c from semi-principal axes.

Calculate now
5 3D Geometry

Euler’s Formula for Polyhedron Calculator

Verify Euler characteristic for convex polyhedra: V - E + F = 2.

Calculate now
6 3D Geometry

Great Circle Calculator

Calculate shortest orthodromic distance d = R × arccos(sin φ1 sin φ2 + cos φ1 cos φ2 cos Δλ).

Calculate now
7 3D Geometry

Lateral Area Trapezoidal Prism Calculator

Calculate lateral surface area of trapezoidal prism L = Perimeter_base × Length.

Calculate now
8 3D Geometry

Pyramid Angle Calculator

Calculate slope face angle θ = arctan(height / (base/2)) of right rectangular pyramid.

Calculate now
9 3D Geometry

Pyramid Volume Calculator

Calculate pyramid volume V = (1/3) × Base_Area × Height.

Calculate now
10 3D Geometry

Rectangular Prism Calculator

Calculate rectangular box volume V = l × w × h and surface area A = 2(lw + lh + wh).

Calculate now
11 3D Geometry

Slant Height calculator

Calculate cone slant height s = √(r² + h²) or pyramid slant edge.

Calculate now
12 3D Geometry

Surface Area of a Triangular Prism Calculator

Calculate triangular prism surface area A = b h + (s1 + s2 + s3) × L.

Calculate now
13 3D Geometry

Tetrahedron Volume Calculator

Calculate regular tetrahedron volume V = (s³ / (6√2)) and surface area A = s²√3.

Calculate now
14 3D Geometry

Torus Surface Area Calculator

Calculate donut torus surface area A = 4 π² R r via Pappus's centroid theorem.

Calculate now
15 3D Geometry

Torus Volume Calculator

Calculate torus volume V = 2 π² R r².

Calculate now
16 3D Geometry

Triangular Prism Calculator

Calculate triangular prism volume V = 0.5 × b × h × L.

Calculate now

Sequences calculators 🔗

10 tools
Top ↑

Exponents and logarithms calculators 🇪

23 tools
Top ↑
1

Random Number Generator

Generate true random integers or decimals within any range, with options for multiple numbers, sorting, and duplicate filters.

Calculate now
2

Exponent Calculator

Calculate exponential power expressions (x^y), negative exponents, and scientific power bases.

Calculate now
3 Algebra

Log Calculator

Calculate natural logarithm ln(x), common log₁₀(x), binary log₂(x), or arbitrary base log_b(x) with bidirectional three-way solving and step-by-step proofs.

Calculate now
4 Statistics

Statistics Calculator

Calculate descriptive statistics: Sample & Population Standard Deviation, Variance, Mean, Geometric Mean, Median, Quartiles, and Step-by-Step Deviation Tables.

Calculate now
5 Combinatorics

Permutation and Combination Calculator

Calculate permutations ₙPᵣ (ordered) and combinations ₙCᵣ (unordered), with and without repetition, using high-precision BigInt arithmetic.

Calculate now
6 Essential

Basic Calculator

Free online 4-function basic calculator with PEMDAS chain operations, memory registers (M+, M-, MR), scientific EXP notation, and keyboard support.

Calculate now
7 Exponents & Logs

Antilog Calculator – Antilogarithm

Calculate inverse logarithm antilog_b(x) = b^x for base 10, e, or custom base.

Calculate now
8 Exponents & Logs

Change of Base Formula Calculator

Convert logarithm to new base: log_b(x) = ln(x) / ln(b) = log10(x) / log10(b).

Calculate now
9 Exponents & Logs

Condense Logarithms Calculator

Condense logarithmic expressions: c1 ln(x) + c2 ln(y) = ln(x^c1 × y^c2).

Calculate now
10 Exponents & Logs

Dividing Exponents Calculator

Divide powers with matching bases: b^m / b^n = b^(m - n).

Calculate now
11 Exponents & Logs

Dividing Radicals Calculator

Divide radical roots: ⁿ√a / ⁿ√b = ⁿ√(a / b).

Calculate now
12 Exponents & Logs

e Calculator | eˣ | e Raised to Power of x

Calculate Euler's number e ≈ 2.718281828459 and natural exponential e^x.

Calculate now
13 Exponents & Logs

Expanding Logarithms Calculator

Expand log of product/quotient: log(x × y) = log x + log y.

Calculate now
14 Exponents & Logs

Exponential Form Calculator

Convert radical ⁿ√(xᵐ) into fractional exponent notation x^(m/n).

Calculate now
15 Exponents & Logs

Exponential Function Calculator

Evaluate general exponential model y = a × b^x + c.

Calculate now
16 Exponents & Logs

Exponential Growth Calculator

Model continuous compounding growth N(t) = N0 × e^(rt).

Calculate now
17 Exponents & Logs

Log Calculator (Logarithm)

Calculate logarithm log_b(x) = y where b^y = x for any positive base.

Calculate now
18 Exponents & Logs

Log Base 2 Calculator

Calculate binary logarithm lb(x) = log2(x) for computer science and information entropy.

Calculate now
19 Exponents & Logs

Multiplying Exponents Calculator

Multiply powers with identical base: b^m × b^n = b^(m + n).

Calculate now
20 Exponents & Logs

Multiplying Radicals Calculator

Multiply matching radical roots: ⁿ√a × ⁿ√b = ⁿ√(a × b).

Calculate now
21 Exponents & Logs

Natural Log Calculator

Calculate natural logarithm ln(x) = log_e(x).

Calculate now
22 Exponents & Logs

Negative Log Calculator

Calculate negative log -log10(x) for chemical pH, pKa, and optical density.

Calculate now
23 Exponents & Logs

Power of a Power Calculator

Evaluate nested exponential powers: (b^m)^n = b^(m × n).

Calculate now

Binary calculators 1️0️

14 tools
Top ↑
1 Base 16

Hex Calculator

Add, subtract, multiply, divide hexadecimal numbers, and convert seamlessly between Hex, Decimal, and Binary with step-by-step mathematical breakdowns.

Calculate now
2 Binary

AND Calculator

Perform bitwise AND operation (a & b) between two integer values.

Calculate now
3 Binary

Binary Addition Calculator

Add two binary integers bit-by-bit with ripple carries: 1 + 1 = 10_2.

Calculate now
4 Binary

Binary Division Calculator

Perform binary long division: A = Q × B + R.

Calculate now
5 Binary

Binary Fraction Converter

Convert fractional binary (e.g. 0.101_2 = 1/2 + 1/8 = 0.625) into decimal fractions.

Calculate now
6 Binary

Binary Multiplication Calculator

Multiply binary numbers via shift-and-add partial products.

Calculate now
7 Binary

Binary Subtraction Calculator

Subtract binary numbers using two's complement subtraction: A - B.

Calculate now
8 Binary

Bit Shift Calculator

Perform left shift (<< n, multiply by 2^n) and right shift (>> n, floor divide by 2^n).

Calculate now
9 Binary

Bitwise Calculator

Simultaneously evaluate AND, OR, XOR, NOT, and bit shifts.

Calculate now
10 Binary

NOR Calculator

Compute bitwise NOR logic: ~(a | b).

Calculate now
11 Binary

One's Complement Calculator

Invert all bits (~x = -x - 1) in 8-bit or 16-bit word format.

Calculate now
12 Binary

OR Calculator

Perform bitwise inclusive OR operation (a | b).

Calculate now
13 Binary

Two's Complement Calculator

Compute two's complement signed negative representation: -x = ~x + 1.

Calculate now
14 Binary

XOR Calculator

Perform bitwise exclusive OR operation (a ^ b) for cryptography and parity.

Calculate now

Other calculators

20 tools
Top ↑
1 Interactive

Scientific Calculator

Full-featured online scientific calculator with trigonometric functions, logarithms, powers, roots, memory, and calculation history.

Calculate now
2 Statistics

Mean, Median, Mode, Range Calculator

Calculate the central tendency metrics (Mean, Median, Mode) and dispersion Range with ascending sorted sequence and step-by-step math derivations.

Calculate now
3 Essential

Least Common Multiple Calculator

Find the Least Common Multiple (LCM / LCD) of two or more numbers using Prime Factorization, GCD Reduction, Cake Ladder, and Listing Multiples methods.

Calculate now
4 Essential

Greatest Common Factor Calculator

Find the Greatest Common Factor (GCF / GCD / HCF) of two or more numbers using Prime Factorization, the Euclidean Algorithm, and Listing Divisors.

Calculate now
5 Essential

Big Number Calculator

Calculate with arbitrarily large numbers (hundreds or thousands of digits) without floating point precision loss or overflow.

Calculate now
6 Essential

Common Factor Calculator

Find all common factors (divisors) shared across multiple integers with full factor breakdowns and GCF identification.

Calculate now
7 Other Math

Babylonian Numbers Converter

Convert modern integers into sexagesimal base-60 Babylonian cuneiform place notation.

Calculate now
8 Other Math

Cyclomatic Complexity Calculator

Calculate McCabe software control flow complexity M = E - N + 2P.

Calculate now
9 Other Math

Galileo's Paradox of Infinity Calculator

Demonstrate bijection between positive integers and perfect squares n ↔ n².

Calculate now
10 Other Math

Hilbert's Hotel Paradox Calculator

Demonstrate infinite hotel occupancy reallocation: shift guest n to room n + k or 2n.

Calculate now
11 Other Math

Involute Function Calculator

Calculate gear tooth involute function inv(α) = tan(α) - α (with α in radians).

Calculate now
12 Other Math

LFSR Calculator

Simulate linear feedback shift register maximal length period: Period = 2ⁿ - 1.

Calculate now
13 Other Math

Luhn Algorithm Calculator

Calculate and verify credit card check digits using mod 10 Luhn checksum.

Calculate now
14 Other Math

Mayan Numerals Converter

Convert integers into vigesimal base-20 vertical Mayan calendar number glyphs.

Calculate now
15 Other Math

Miracle Calculator

Calculate statistical probability of experiencing an improbable 1-in-a-million event in 1 month.

Calculate now
16 Other Math

Potato Calculator

Solve the counterintuitive potato paradox: drying potatoes from 99% to 98% water halves total weight.

Calculate now
17 Other Math

Prisoner's Dilemma Calculator

Compute game theoretic payoff matrix equilibrium for Cooperate vs Defect strategies.

Calculate now
18 Other Math

Queueing Theory Calculator

Calculate average wait time W_q = λ / (μ(μ - λ)) for an M/M/1 queue.

Calculate now
19 Other Math

RSA Calculator

Compute RSA public/private key moduli: n = p × q and Euler totient φ(n) = (p-1)(q-1).

Calculate now
20 Other Math

Ugly Duckling Theorem Calculator

Explore Watanabe's theorem: all object pairs share equal number of formal predicates.

Calculate now
FAQ & Help 4 questions

Math Calculators & FAQs

Q1 What calculators are included in the Math category? ▾

Our Math hub features 433 calculators across 16 specialized subcategories: Percentages calculators, Algebra calculators, Arithmetic calculators, Coordinate geometry calculators, Fractions calculators, Linear algebra calculators, Trigonometry calculators, 2D geometry calculators, and more.

Q2 Are calculations verified for mathematical and institutional accuracy? ▾

Yes. Every tool is constructed upon certified institutional and scientific formulas. All mathematical equations execute entirely client-side in your local browser for instant, reliable, and privacy-preserving calculations.

Q3 Are these Math calculators mobile friendly? ▾

Yes, all 433 calculators, comparison tables, and result charts are 100% responsive, optimized for smartphones, tablets, laptops, and desktop computers.

Q4 Can I embed any of these Math calculators on my website? ▾

Yes! Every calculator includes an embed option so you can seamlessly embed responsive calculation widgets into your personal blog, academic website, or corporate portal.