Math
Geometry, algebra, fractions, and everyday math.
Geometry
Area and perimeter of common 2D shapes, with diagrams.
Rectangle Calculator
Calculate the area and perimeter of a rectangle from its width and height, with a labeled diagram.
Circle Calculator
Calculate the area and circumference of a circle from its radius, with a labeled diagram.
Triangle Calculator
Calculate the area (Heron’s formula) and perimeter of a triangle from its three sides.
Trapezoid Calculator
Calculate the area and perimeter of a trapezoid from its two parallel sides, height, and legs.
Parallelogram Calculator
Calculate the area and perimeter of a parallelogram from its base, height, and side.
Circle Sector Calculator
Calculate the area, arc length, chord length, and perimeter of a circle sector.
Circle Chord Calculator
Calculate chord length and arc length from a circle’s radius and central angle.
Arc Length Calculator
Calculate the arc length of a circle from radius and central angle in degrees.
Square Calculator
Calculate the area, perimeter, and diagonal of a square from its side length.
Regular Polygon Calculator
Calculate area, perimeter, interior angle, and apothem of any regular polygon.
Hexagon Calculator
Calculate area, perimeter, interior angle, and apothem of a regular hexagon from its side length.
Octagon Calculator
Calculate area, perimeter, interior angle, and apothem of a regular octagon from its side length.
Ellipse Calculator
Calculate the area and perimeter of an ellipse from its semi-major and semi-minor axes.
Polygon Area Calculator
Calculate the area and perimeter of any polygon from its vertex coordinates using the shoelace formula.
Triangle Angle Calculator
Find all three interior angles of any triangle from its side lengths using the law of cosines.
Solid Geometry
Volume and surface area of common 3D shapes.
Cube Calculator
Calculate the volume and surface area of a cube from its side length, with a 3D diagram.
Sphere Calculator
Calculate the volume and surface area of a sphere from its radius, with a 3D diagram.
Cylinder Calculator
Calculate the volume and surface area of a cylinder from its radius and height, with a 3D diagram.
Cone Calculator
Calculate the volume, surface area, and slant height of a cone from its radius and height.
Rectangular Prism Calculator
Calculate the volume and surface area of a rectangular prism (box) from its length, width, and height.
Unit Conversion
Convert length, weight, temperature, area, volume, and speed units.
Length Converter
Convert between metric and imperial length units — millimetres to miles — instantly in your browser.
Weight Converter
Convert between weight and mass units — kilograms, pounds, ounces, grams, stones, tonnes — instantly.
Temperature Converter
Convert temperatures between Celsius, Fahrenheit, and Kelvin instantly.
Area Converter
Convert between area units — square metres, square feet, acres, hectares, and more.
Volume Converter
Convert between volume units — litres, millilitres, US gallons, quarts, pints, cups, and more.
Speed Converter
Convert between speed units — m/s, km/h, mph, knots, and feet per second.
Arithmetic & Fractions
Simplify and calculate fractions, decimals, LCM, and GCD.
Fraction Simplifier
Reduce any fraction to its simplest form and see the decimal value, instantly.
Fraction Calculator
Add, subtract, multiply, or divide two fractions and get the simplified result.
Decimal to Fraction Converter
Convert a decimal number into a reduced fraction, instantly.
LCM Calculator
Find the least common multiple (LCM) of two or more whole numbers.
GCD Calculator
Find the greatest common divisor (GCD / GCF) of two or more whole numbers.
Percentage Change Calculator
Calculate the percentage increase or decrease between two values using (new − old) ÷ |old| × 100.
Fraction to Decimal Calculator
Convert any fraction to its decimal equivalent instantly — handles terminating and repeating results.
Mixed Number Calculator
Convert improper fractions to mixed numbers and mixed numbers back to improper fractions instantly.
Significant Figures Calculator
Round any number to a chosen count of significant figures instantly.
Rounding Calculator
Round any number to a given number of decimal places or to the nearest multiple.
Proportion Calculator
Solve the proportion a : b = c : x for the unknown x using cross-multiplication.
Scientific Calculator
Evaluate math expressions with trig, logarithms, powers, and common constants.
Statistics
Mean, median, mode, standard deviation, probability, and more.
Average Calculator
Find the mean, median, mode, range, count, and sum of a list of numbers.
Standard Deviation Calculator
Calculate the population or sample standard deviation, variance, and mean of a dataset.
Permutation and Combination Calculator
Calculate permutations (nPr) and combinations (nCr) for choosing r items from n.
Z-Score Calculator
Calculate the z-score (standard score) of a value given the mean and standard deviation.
Weighted Average Calculator
Calculate a weighted average (weighted mean) from a list of values and their weights.
Percentile Calculator
Find the value at any percentile in a data set using linear interpolation.
Quartile Calculator
Find Q1, Q2, Q3, and the interquartile range (IQR) for any list of numbers.
Interquartile Range Calculator
Find Q1, Q3, and IQR to measure the spread of the middle 50% of your data set.
Correlation Calculator
Calculate the Pearson correlation coefficient between two numeric lists.
Linear Regression Calculator
Fit a least-squares line to X/Y data and get slope, intercept, and R².
Frequency Distribution Calculator
Group a dataset into equal-width bins and see the count and relative frequency of each interval.
Histogram Generator
Visualise value distributions by grouping numbers into equal-width frequency bins.
Algebra
Quadratic equations, slope, distance, midpoint, and ratios.
Quadratic Equation Solver
Solve any quadratic equation ax² + bx + c = 0, including real and complex roots.
Slope Calculator
Find the slope, y-intercept, and equation of the line through two points.
Distance Calculator
Find the straight-line distance between two points on the coordinate plane.
Midpoint Calculator
Find the midpoint exactly halfway between two points on the coordinate plane.
Ratio Calculator
Simplify a ratio to lowest terms or solve a proportion a : b = c : x.
Linear Equation Solver
Solve a·x + b = c instantly — handles unique solutions, no solution, and infinitely many solutions.
Cubic Equation Solver
Find all real roots of any cubic equation a·x³ + b·x² + c·x + d = 0 instantly.
System of Equations Solver
Solve a 2×2 linear system a₁x + b₁y = c₁, a₂x + b₂y = c₂ using Cramer’s rule.
Inequality Solver
Solve a linear inequality a·x + b (op) c for x, with automatic sign-flip detection.
Logarithm Calculator
Compute logₐ(x), ln(x), and log₁₀(x) for any positive value and base.
Exponent Calculator
Raise any base to any exponent — including negative and fractional powers.
Radical Calculator
Compute the nth root of any number or simplify a square root into its simplest radical form.
Trigonometry
Right triangles, trig functions, and the laws of sines and cosines.
Right Triangle Calculator
Solve a right triangle from its two legs: hypotenuse, angles, area, and perimeter.
Pythagorean Theorem Calculator
Find the hypotenuse or a missing leg of a right triangle with the Pythagorean theorem.
Trig Function Calculator
Calculate sin, cos, tan, csc, sec, and cot of any angle in degrees or radians.
Law of Sines Calculator
Solve a triangle with the law of sines from two angles and one side (ASA/AAS).
Law of Cosines Calculator
Find the third side of a triangle from two sides and the included angle (SAS).
Sine Calculator
Calculate the sine of any angle in degrees or radians instantly.
Cosine Calculator
Calculate the cosine of any angle in degrees or radians instantly.
Tangent Calculator
Calculate the tangent of any angle in degrees or radians instantly.
Inverse Sine Calculator
Find the angle whose sine equals a given value — returns arcsin in both degrees and radians.
Inverse Cosine Calculator
Find the angle whose cosine is a given value. Returns degrees and radians for any input in [−1, 1].
Inverse Tangent Calculator
Calculate arctan (tan⁻¹) of any real number — get the result in both degrees and radians.
Cotangent Calculator
Calculate cot(θ) for any angle in degrees or radians — returns cos ÷ sin.
Secant Calculator
Compute sec(θ) and csc(θ) for any angle in degrees or radians.
Angle Converter
Convert any angle between degrees, radians, gradians, and turns instantly.
Unit Circle Calculator
Find the exact (cos θ, sin θ) point on the unit circle for any angle in degrees.
Numbers & Sequences
Primes, factors, prime factorization, Fibonacci, and sequences.
Prime Number Checker
Check whether a whole number is prime, and see its smallest factor if it is not.
Prime Factorization Calculator
Break a whole number down into its prime factors, with exponents.
Factor Calculator
List all the factors (divisors) of a whole number, and count them.
Fibonacci Calculator
Generate the Fibonacci sequence and read the nth term, up to 50 terms.
Sequence Calculator
Find the nth term and sum of an arithmetic or geometric sequence.
Divisibility Calculator
Check whether one integer divides another and get the quotient and remainder instantly.
Multiples Calculator
Generate the first N multiples of any integer instantly.
Even or Odd Checker
Instantly check whether any whole number is even or odd.
Lucas Sequence Calculator
Generate the first N Lucas numbers — a Fibonacci-like sequence that starts 2, 1, 3, 4, 7, 11, …
Catalan Number Calculator
Compute the nth Catalan number — counts valid bracket sequences, binary-tree shapes, and more.
Perfect Number Checker
Check whether a whole number equals the sum of its proper divisors.
Vectors
Add, subtract, dot, cross, project, and find the magnitude and angle of 2D and 3D vectors.
Vector Addition Calculator
Add two 2D or 3D vectors component-by-component and compute the magnitude of the resultant.
Vector Subtraction Calculator
Subtract two 2D or 3D vectors and find the magnitude of the difference.
Dot Product Calculator
Compute the dot product a · b and the angle between two 2D or 3D vectors instantly.
Cross Product Calculator
Compute the 3D cross product a × b and the magnitude of the resulting vector.
Vector Magnitude Calculator
Calculate the magnitude and unit vector of any 2D or 3D vector instantly.
Unit Vector Calculator
Find the unit vector (normalized direction) of any 2D or 3D vector by dividing each component by its magnitude.
Vector Projection Calculator
Find the scalar and vector projection of one vector onto another in 2D or 3D.
Angle Between Vectors Calculator
Find the angle between two 2D or 3D vectors in degrees and radians using the dot product formula.
2D Vector Calculator
Find the magnitude and direction angle of a 2D vector from its x and y components.
3D Vector Calculator
Find the magnitude and direction angles of a 3D vector with respect to all three coordinate axes.
Matrix
Add, multiply, transpose, invert, and find the determinant, rank, and eigenvalues of matrices.
Matrix Addition Calculator
Add two matrices of identical dimensions and see the element-wise result instantly.
Matrix Subtraction Calculator
Subtract two matrices of equal dimensions component-wise to find A − B instantly.
Matrix Multiplication Calculator
Multiply two matrices A (m×n) and B (n×p) to get an m×p product using the row-by-column rule.
Matrix Determinant Calculator
Compute the determinant of a 2×2, 3×3, or 4×4 matrix instantly.
Matrix Inverse Calculator
Find the inverse of a 2×2, 3×3, or 4×4 matrix — returns A⁻¹ where A·A⁻¹ = I.
Matrix Transpose Calculator
Swap the rows and columns of any matrix up to 4×4 instantly.
Matrix Rank Calculator
Find the rank of any matrix up to 4×4 by row-reducing it to echelon form.
Eigenvalue Calculator
Find the eigenvalues of a 2×2 matrix from its characteristic equation.
Probability
Probability, conditional probability, Bayes’ theorem, distributions, expected value, and odds.
Probability Calculator
Calculate the probability of an event, its percentage, and complement from favorable and total outcomes.
Conditional Probability Calculator
Calculate P(A | B) — the probability of event A given that event B has occurred.
Bayes Theorem Calculator
Compute the posterior probability P(A | B) from a prior, likelihood, and false-positive rate.
Binomial Distribution Calculator
Find P(X = k) for n trials plus the mean, variance, and a full PMF distribution chart.
Normal Distribution Calculator
Compute PDF, CDF, and survival probability for any normal distribution given x, μ, and σ.
Poisson Distribution Calculator
Calculate the probability of exactly k events in a fixed interval given an average rate λ.
Hypergeometric Distribution Calculator
Probability of exactly k successes in n draws from a finite population without replacement.
Uniform Distribution Calculator
Compute mean, variance, density, and cumulative probability for a continuous uniform distribution on [a, b].
Expected Value Calculator
Compute the expected value E(X), variance, and standard deviation of a discrete distribution.
Odds Calculator
Convert between odds and probability — odds for/against to probability, or probability to odds in favor.
Complex Numbers
Complex-number arithmetic, modulus, argument, and nth roots.
Calculus
Numeric derivatives, definite integrals, tangent lines, and Taylor series.
Derivative Calculator
Compute the numerical derivative f ′(x) of any expression at a given point.
Definite Integral Calculator
Numerically evaluate ∫ f(x) dx over [a, b] using composite Simpson’s rule.
Tangent Line Calculator
Find the tangent line to any function at a point — slope, intercept, and equation instantly.
Taylor Series Calculator
Expand any function as a Taylor polynomial up to order 4 about any center point.