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Math calculators

Geometry, school algebra, and short problems with numbers. The calculator returns an area, a volume, a root, combinations, a change of number base, or Roman numerals.

MathCircle area

Radius, diameter, circumference, and area, from any one of those quantities.

MathTriangle

From the base and the height, from three sides, or from two sides and the included angle.

MathRectangle

Area, perimeter, and diagonal from two sides.

MathTrapezoid

The midsegment times the height. The perimeter, when the non-parallel sides are known.

MathPythagoras

Finds the third side of a right triangle.

MathQuadratic equation

The discriminant and the roots of ax² + bx + c = 0.

MathSphere

Volume and surface area from the radius.

MathCylinder

Volume, side area, and full surface of a pipe, a can, or a tank.

MathCone

Volume, slant height, and surface area of a right circular cone.

MathCube

Volume, surface area, and the space diagonal.

MathRatio

Finds x in the proportion a / b = c / x.

MathGCD and LCM

The greatest common divisor and the least common multiple of two integers.

MathMean

The ordinary mean and the weighted mean of a list of numbers.

MathRoots

A root of a chosen degree, checked by raising it back.

MathExponentiation

The base to any integer or fractional power.

MathFactorial

The product of all integers from 1 to n.

MathCombinations and permutations

How many ways to choose k items from n.

MathPrime number

A primality check and a factorization.

MathEuler's totient

How many integers from 1 to n are coprime to n.

MathDigital root

The digits added again until one digit remains.

MathArmstrong number

Whether the sum of the digits, each to the power of the digit count, equals the number.

MathNumber bases

Converts an integer between bases from 2 to 36.

MathRoman numerals

Converts between Roman notation and an ordinary number.

MathDivision with a remainder

An integer quotient and a nonnegative remainder.

MathFraction arithmetic

Addition, subtraction, multiplication, and division of common fractions.

MathMixed number

An improper fraction as a whole number and a remainder.

MathHexagon area

Area and perimeter of a regular hexagon.

MathFrustum of a cone

Volume of a cone with two radii.

MathFrustum of a pyramid

Volume of a pyramid with two square bases.

MathTriangle angles

Three angles from three sides.

MathMean, median, and mode

A summary of a number list: mean, median, mode, and range.

MathZ-score

How many standard deviations the value lies from the mean.

MathPercentiles

The value below which a given share of the series lies.

MathConfidence interval

Bounds on the mean from the spread and the sample size.

MathSample size

How many answers you need for a set error on a share.

MathCorrelation

A linear link between two series, by Pearson.

MathModular exponentiation

The remainder of a power divided by a modulus.

MathModular inverse

A number whose product with this one leaves a remainder of 1.

MathProgression

A term and the sum of an arithmetic or a geometric progression.

MathLogarithm

Common, natural, binary, or a logarithm in a base you choose.

MathSine and cosine

Sine, cosine, and tangent of an angle in degrees.

MathCircle sector

Sector area and arc length from the radius and the angle.

MathCuboid

Volume, surface area, and the diagonal of a rectangular box.

MathPyramid

Volume of a pyramid with a square base.

MathKinds of mean

The arithmetic, geometric, and harmonic means.

MathPerfect number

Compares a number with the sum of its proper divisors.

MathInteger partitions

How many ways there are to write n as a sum of positive integers, ignoring order.

MathStirling number

How many ways there are to place n distinct items into k groups that are not empty.

MathWeighted mean

A mean with a weight on each number.

MathIdeal gas

One unknown in the equation PV = nRT.

MathSnell's law

The angle of refraction at the boundary of two media.

MathOrbital and escape speeds

The first and second cosmic speeds for Earth, Mars, and the Moon.

MathReynolds number

Flow regime in a round pipe.

MathReaction yield

The percent of actual product relative to the theoretical amount.