Math calculators

92 calculators

Math

Percentage

Find a percentage of any number.

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Percentage change

Measure an increase or decrease from an original value.

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Fraction arithmetic

Add two fractions and simplify the result.

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Quadratic equation

Find the real roots of ax² + bx + c = 0.

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Pythagorean theorem

Find the hypotenuse of a right triangle.

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Circle

Calculate area, circumference, and diameter.

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Rectangle

Find area and perimeter from two sides.

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Cylinder

Calculate cylinder volume and surface area, or solve a missing radius, diameter, or height from volume.

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Average & statistics

Find mean, median, range, and population standard deviation.

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Scientific calculator

Evaluate scientific expressions with DEG/RAD modes, trigonometry, logarithms, powers, roots, constants, memory, and history.

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Difference

Compare two values using absolute difference, net change, percentage difference, and percentage change.

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Solve a proportion

Find the missing fourth value in two equal ratios.

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Ellipse area

Find the area enclosed by an ellipse from its two semi-axes.

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Trapezoid / trapezium

Calculate the area and midline of a trapezoid from its parallel sides and perpendicular height.

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Rectangular prism

Find the volume and closed surface area of a rectangular box.

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Cone

Calculate cone volume, slant height, lateral area, and closed surface area from radius and perpendicular height.

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Sphere volume and surface area

Find the surface area and volume of a sphere.

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Regular polygon area

Calculate area and perimeter of a regular polygon.

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Distance between two points

Measure straight-line distance between two Cartesian points.

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Slope of a line

Find slope and y-intercept from two points.

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Arithmetic sequence

Find a term and partial sum of an arithmetic sequence.

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Geometric sequence term

Find a chosen term of a geometric sequence.

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Three-dimensional vector magnitude

Calculate the length of a three-dimensional vector.

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Ratio simplifier

Simplify a two-number ratio and view its decimal relationship.

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Triangle geometry

Calculate triangle area and perimeter from a base, perpendicular height and three sides.

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Standard deviation

Calculate population mean, variance and standard deviation for five values.

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Percent error

Compare an observed value with an accepted value using absolute percent error.

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Exponent and power

Raise a base to an exponent.

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Half-life decay

Calculate remaining quantity after elapsed time using a half-life.

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Logarithm

Calculate natural and base-10 logarithms of a positive number.

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Sample size

Estimate a proportion survey sample size from confidence z-score, proportion and margin.

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Probability of either event

Calculate union probability for two events with a stated overlap.

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Z-score

Standardize an observation using a population mean and standard deviation.

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Confidence interval for a mean

Calculate a z-based confidence interval from a mean, standard deviation and sample size.

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Nth root

Calculate a positive real nth root.

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Rounding

Round a number to a selected decimal place using a scaling factor.

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2×2 matrix determinant

Calculate the determinant of a two-by-two matrix.

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Scientific notation

Split a number into a coefficient and a power of ten using a supplied exponent.

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Linear equation

Solve a one-variable linear equation in the form ax + b = c.

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Long division result

Calculate quotient and decimal remainder for two integers.

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Two-sided z-test p-value

Calculate a two-sided standard-normal tail probability from a z statistic.

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Seeded random number

Generate a reproducible pseudo-random whole number from a numeric seed and range.

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Binary and hexadecimal converter

Convert a nonnegative whole decimal number to binary and hexadecimal.

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Permutation and combination

Calculate ordered permutations and unordered combinations.

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Factors, GCF and LCM

Find factors, greatest common factor, least common multiple and prime factors for two positive integers.

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Standard error of the mean

Estimate the standard error from sample standard deviation and sample size.

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Coefficient of variation

Compare standard deviation with a nonzero mean.

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Two-equation linear system

Solve two linear equations in x and y using determinants.

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2×2 matrix inverse

Find the determinant and inverse of a nonsingular 2×2 matrix.

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Power-rule derivative

Differentiate a monomial axⁿ and evaluate it at a selected x.

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Trapezoidal integration

Approximate area under a curve from three equally spaced values.

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Function graph

Plot a real-valued function of x across a selected interval.

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Standard calculator

Use a fast four-function calculator with percentage, backspace, keyboard support, and local history.

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Annulus area

Find the area of a circular ring by subtracting the inner disk from the outer disk, and add both circumferences for its total boundary.

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Rhombus from diagonals

Use the perpendicular diagonals of a rhombus to find its area; their half-lengths form a right triangle that determines each side and the perimeter.

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Parallelogram area and perimeter

Multiply the parallelogram base by its perpendicular height for area, and use the base and sloping side for perimeter.

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Ellipsoid volume

Calculate ellipsoid volume using three semi-axes measured from the centre to the surface, rather than the full axis lengths.

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Torus volume and surface area

Find the volume and curved surface of a ring torus using the distance to the tube centre and the radius of the tube itself.

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Cone frustum

Calculate the volume of a truncated cone and distinguish its sloping lateral area from the total area including both circular ends.

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Hollow cylinder volume

Subtract the empty inner cylinder from the outer cylinder to find material volume, and subtract the radii to find wall thickness.

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Capsule volume and surface area

Model a capsule as a straight cylinder with two hemispherical ends; the entered straight length excludes both rounded ends.

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Midpoint of two points

Average the two x coordinates and the two y coordinates separately to locate the midpoint of a straight segment in a plane.

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Distance from point to line

Measure the shortest perpendicular distance from a point to the infinite straight line defined by A×x + B×y + C = 0.

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Kite area from diagonals

Calculate the area of a kite from its two perpendicular diagonals; the diagonals alone do not determine its perimeter.

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Law of cosines

Determine the third side of a triangle from two known sides and the angle between them, then calculate the enclosed area.

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Law of sines

Use one side and its opposite angle with a second angle to determine the remaining triangle sides without the ambiguous side-side-angle case.

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Harmonic mean of three values

Average three positive values through their reciprocals; this harmonic mean gives greater influence to the smaller values.

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Geometric mean of three values

Find the cube root of the product of three positive values; logarithms keep the geometric mean stable across different scales.

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Bayes theorem

Update the probability of A after observing evidence by combining its prior probability with the evidence likelihood under A and under not-A.

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Binary Shannon entropy

Measure uncertainty in a two-outcome probability distribution; equal chances yield one bit, while a certain outcome yields zero bits.

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Wilson proportion interval

Estimate a confidence interval for a binomial success proportion using the Wilson score method, including samples with zero or all successes.

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Pooled sample standard deviation

Combine two sample standard deviations using their degrees of freedom as weights to estimate the shared within-group standard deviation.

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Square pyramid

Find volume, slant height and surface area of a right square pyramid.

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Triangular prism

Calculate volume and total surface area of a right prism with a triangular base.

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Regular hexagonal pyramid

Find volume, slant height and total surface area of a right regular hexagonal pyramid.

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Unit circle coordinates

Find the coordinates of a point at a given angle on the unit circle.

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Triangle circumcenter

Find the centre of the circle passing through three non-collinear points.

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Triangle circumcircle radius

Find the radius of the circle passing through all three triangle vertices.

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Circular segment area

Calculate the area between a chord and its circle arc.

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Ellipse perimeter estimate

Estimate an ellipse circumference from its two semi-axes.

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Ellipse eccentricity

Calculate ellipse eccentricity and focus spacing from its semi-axes.

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Triangle centroid

Locate the centroid of a triangle from the coordinates of its three vertices.

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Vector dot product

Compute the scalar dot product of two three-dimensional vectors.

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Vector cross product

Calculate the components and magnitude of the cross product of two vectors.

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Vector projection

Project vector A onto the direction of vector B.

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Angle between vectors

Find the smaller angle between two nonzero three-dimensional vectors.

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Complex number modulus

Find the distance of a complex number from the origin of the complex plane.

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Complex multiplication

Multiply two complex numbers entered as real and imaginary components.

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Complete the square

Rewrite a quadratic as a(x − h)² + k using its vertex and outer coefficient.

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Direct variation

Find a directly proportional value from one known x and y pair.

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Inverse variation

Find an inversely proportional value from one known x and y pair.

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Hyperbolic functions

Evaluate sinh, cosh and tanh for a real argument.