Math Calculators
Free online math calculators for percentages, algebra, geometry, trigonometry and more — instant, accurate results.
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2D Geometry
Area of a Rectangle CalculatorFind the area, perimeter and diagonal of a rectangle.Trapezoid Area CalculatorFind the area of a trapezoid.Regular Polygon Area CalculatorFind the area of any regular polygon.Ellipse Area CalculatorFind the area and approximate perimeter of an ellipse.Quadrilateral Area from Diagonals CalculatorFind a quadrilateral’s area from its two diagonals and angle.Centroid of a Triangle CalculatorFind the centroid of a triangle from its vertices.Hexagon Area CalculatorFind the area and perimeter of a regular hexagon.Octagon Area CalculatorFind the area and perimeter of a regular octagon.Pentagon Area CalculatorFind the area and perimeter of a regular pentagon.Golden Rectangle CalculatorFind the long side and area of a golden rectangle.Circular Segment Area CalculatorFind the area and chord length of a circular segment.Shoelace Formula Calculator (Irregular Polygon Area)Find the area of any polygon from its vertex coordinates.Square CalculatorFind the area, perimeter and diagonal of a square.
3D Geometry
Cube CalculatorFind the volume, surface area and diagonal of a cube.Sphere CalculatorFind the volume and surface area of a sphere.Cylinder Volume CalculatorFind the volume and surface area of a cylinder.Cone Volume CalculatorFind the volume and surface area of a cone.Rectangular Prism CalculatorFind the volume, surface area and diagonal of a box.Triangular Prism Volume CalculatorFind the volume of a triangular prism.Torus Volume CalculatorFind the volume and surface area of a torus (donut shape).Surface Area to Volume Ratio CalculatorFind the surface-area-to-volume ratio of a sphere or cube.Pyramid Volume CalculatorFind the volume of any pyramid from its base area and height.Tetrahedron Volume CalculatorFind the volume, surface area and height of a regular tetrahedron.
Algebra
Quadratic Formula CalculatorSolve ax² + bx + c = 0 for x.FOIL CalculatorMultiply two binomials using the FOIL method.Complex Number CalculatorAdd, subtract or multiply two complex numbers.System of Equations CalculatorSolve two linear equations with two unknowns.Discriminant CalculatorClassify the roots of a quadratic from b² − 4ac.Factoring Trinomials CalculatorFactor x² + bx + c into two binomials.Completing the Square CalculatorRewrite ax² + bx + c as a(x + h)² + k.Cubic Equation CalculatorSolve ax³ + bx² + cx + d = 0 for real roots.Binomial Coefficient CalculatorFind nCr — the number of ways to choose r items from n.Absolute Value Equation CalculatorSolve equations of the form |ax + b| = c for x.Absolute Value Inequalities CalculatorSolve |ax + b| < c or |ax + b| > c for x.Complex Conjugate CalculatorFind the conjugate and modulus of a complex number.Complex Root CalculatorFind the nth roots of a complex number using De Moivre's theorem.Partial Fraction Decomposition CalculatorDecompose (mx + n) / ((x − a)(x − b)) into two simple fractions.Polynomial Division CalculatorDivide one polynomial by another using long division.Synthetic Division CalculatorDivide a polynomial by (x − c) using synthetic division.Multiplying Polynomials CalculatorMultiply two polynomials of any degree.Adding and Subtracting Polynomials CalculatorAdd or subtract two polynomials by combining like terms.Interval Notation CalculatorConvert a range of numbers into interval notation.Rational Zeros CalculatorList possible rational roots of a polynomial.Descartes' Rule of Signs CalculatorEstimate the number of positive and negative real roots.Union and Intersection CalculatorFind the union and intersection of two sets of numbers.
Angle
Complementary and Supplementary Angles CalculatorFind the complement and supplement of an angle.Reference Angle CalculatorFind the reference angle for any angle.Clock Angle CalculatorFind the angle between the hour and minute hands.Coterminal Angle CalculatorFind positive and negative coterminal angles.Angle Between Two Vectors CalculatorFind the angle between two vectors using the dot product.
Arithmetic
GCF and LCM CalculatorFind the greatest common factor and least common multiple.Square Root CalculatorFind the square root of a number.Average (Mean) CalculatorFind the average of a list of numbers.Factorial CalculatorFind the factorial of a non-negative integer.Prime Factorization CalculatorBreak a number down into its prime factors.Prime Number CheckerCheck whether a number is prime.Rounding CalculatorRound a number to a chosen number of decimal places.Scientific Notation CalculatorConvert a number into scientific notation.Significant Figures CalculatorCount the significant figures in a number.Cube Root CalculatorFind the cube root of a number.Geometric Mean CalculatorFind the geometric mean of a list of positive numbers.Modulo CalculatorFind the remainder of a mod n, including negative numbers.Digit Sum CalculatorAdd up the digits of a number and find its digital root.Place Value CalculatorFind the digit and place value at a given position in a number.Long Multiplication CalculatorMultiply two numbers and see the partial products.Long Division CalculatorDivide two numbers and find the quotient and remainder.Root Mean Square (RMS) CalculatorFind the root mean square of a list of numbers.Harmonic Mean CalculatorFind the harmonic mean of a list of positive numbers.Divisibility Test CalculatorCheck whether one number divides another evenly.Weighted Average CalculatorFind the average of values that carry different weights.Expanded Form CalculatorBreak a number down into the sum of its place values.Long Subtraction CalculatorSubtract two numbers and see the borrowing steps.
Binary
Binary CalculatorConvert a decimal number to binary.Bitwise CalculatorPerform AND, OR and XOR on two integers.AND Calculator (Bitwise)Perform a bitwise AND on two integers.OR Calculator (Bitwise)Perform a bitwise OR on two integers.XOR Calculator (Bitwise)Perform a bitwise XOR (exclusive OR) on two integers.Two's Complement CalculatorConvert a signed integer to two’s complement binary.Bit Shift CalculatorShift the bits of an integer left or right.One's Complement CalculatorFind the one’s complement (bitwise NOT) of a number.
Circle
Circle CalculatorFind the area, circumference and diameter of a circle.Arc Length CalculatorFind the length of an arc given radius and angle.Sector Area CalculatorFind the area of a circle sector (pie slice).Chord Length CalculatorFind the length of a chord from radius and central angle.Semicircle CalculatorFind the area and perimeter of a semicircle.Equation of a Circle CalculatorWrite a circle’s equation from its center and radius.Circumference to Radius CalculatorFind a circle’s radius, diameter and area from its circumference.
Coordinate Geometry
Distance Formula CalculatorFind the distance between two points on a plane.Midpoint CalculatorFind the midpoint between two coordinate points.Slope CalculatorFind the slope of a line between two points.Slope-Intercept Form CalculatorFind y = mx + b from a slope and a point.Point-Slope Form CalculatorWrite a line’s equation in point-slope form.Line Equation from Two Points CalculatorFind the equation of a line through two points.Vector Magnitude CalculatorFind the length and unit vector of a 2D or 3D vector.Parallel Line CalculatorFind the equation of a line parallel to a given line.Perpendicular Line CalculatorFind the equation of a line perpendicular to a given line.Vector Addition CalculatorAdd two vectors and find the resultant magnitude.3D Distance CalculatorFind the distance between two points in 3D space.Dot Product CalculatorFind the dot product of two 2D or 3D vectors.Cross Product CalculatorFind the cross product of two 3D vectors.
Exponents & Logarithms
Exponent CalculatorRaise a number to a power.Log CalculatorCalculate the logarithm of a number to any base.Natural Log CalculatorFind the natural logarithm (ln) of a number.Log Base 2 CalculatorFind the base-2 logarithm of a number.Exponential Growth CalculatorProject a value growing continuously at a fixed rate.Exponential Function CalculatorEvaluate f(x) = a × bˣ for any x.Antilog CalculatorReverse a logarithm back to its original number.e Calculator (eˣ)Raise Euler’s number e to any power.
Fractions
Fraction CalculatorAdd two fractions and simplify the result.Simplify Fractions CalculatorReduce a fraction to its simplest form.Ratio CalculatorSolve a proportion for a missing value.Subtracting Fractions CalculatorSubtract two fractions and simplify the result.Multiplying Fractions CalculatorMultiply two fractions and simplify the result.Dividing Fractions CalculatorDivide one fraction by another and simplify.Mixed Number to Improper Fraction CalculatorConvert a mixed number into an improper fraction.Decimal to Fraction CalculatorConvert a decimal number into a simplified fraction.Fraction to Decimal CalculatorConvert a fraction into its decimal equivalent.Proportion CalculatorCheck whether two ratios form a true proportion.Golden Ratio CalculatorSplit a length into two parts in the golden ratio.LCD Calculator (Least Common Denominator)Find the least common denominator of a list of fractions.Equivalent Fractions CalculatorGenerate a list of fractions equivalent to a given one.Unit Rate CalculatorFind the amount per single unit from a total quantity.
Linear Algebra
Matrix Determinant Calculator (2×2)Find the determinant of a 2×2 matrix.Matrix Addition Calculator (2×2)Add or subtract two 2×2 matrices.Matrix Multiplication Calculator (2×2)Multiply two 2×2 matrices.Matrix Transpose Calculator (2×2)Find the transpose of a 2×2 matrix.Matrix Rank Calculator (2×2)Find the rank of a 2×2 matrix.Cramer's Rule Calculator (2×2 System)Solve a 2×2 system of equations using determinants.Gauss-Jordan Elimination Calculator (2×2)Solve a 2×2 system by reducing it to reduced row echelon form.Inverse Matrix Calculator (2×2)Find the inverse of a 2×2 matrix.
Miscellaneous
Percentages
Percentage CalculatorFind what a percentage of a number is.Percentage Change CalculatorFind the percent increase or decrease between two numbers.Percentage Increase CalculatorAdd a percentage increase to a starting value.Percentage Decrease CalculatorSubtract a percentage decrease from a starting value.Percentage Difference CalculatorCompare two values as a percentage of their average.Percent Error CalculatorFind the percent error between an experimental and true value.Percentage of a Percentage CalculatorFind X% of Y% and apply it to an optional base value.Percentage Point CalculatorFind the percentage-point gap between two percentages.Fraction to Percent CalculatorConvert a fraction into a percentage.Decimal to Percent CalculatorConvert a decimal number into a percentage.Average Percentage CalculatorFind the simple or weighted average of several percentages.Doubling Time CalculatorFind how long it takes a value to double at a growth rate.
Sequences
Fibonacci CalculatorFind the nth Fibonacci number.Arithmetic Sequence CalculatorFind the nth term and sum of an arithmetic sequence.Geometric Sequence CalculatorFind the nth term and sum of a geometric sequence.Pascal's Triangle CalculatorGenerate a row of Pascal’s triangle.Sum of Series CalculatorFind the sum of an arithmetic or geometric series.Collatz Conjecture CalculatorSee how many steps it takes a number to reach 1.Harmonic Number CalculatorFind the nth harmonic number (sum of reciprocals).
Triangle
Pythagorean Theorem CalculatorFind the hypotenuse of a right triangle.Heron's Formula CalculatorFind a triangle’s area from its three side lengths.30-60-90 Triangle CalculatorFind all sides of a 30-60-90 triangle from one side.45-45-90 Triangle CalculatorFind the hypotenuse of a 45-45-90 right triangle.Isosceles Triangle CalculatorFind the height, area and base angles of an isosceles triangle.Equilateral Triangle CalculatorFind the height, area and perimeter of an equilateral triangle.Hypotenuse CalculatorFind the hypotenuse from one side and an angle.Triangle Area Calculator (Base and Height)Find a triangle’s area from its base and height.Triangle Height CalculatorFind a triangle’s height from its area and base.Triangle Angle CalculatorFind a triangle’s third angle from the other two.
Trigonometry
Trigonometry CalculatorFind sine, cosine and tangent of an angle.Law of Cosines CalculatorFind a triangle’s third side from two sides and the included angle.Right Triangle CalculatorSolve a right triangle from one leg and the hypotenuse.Law of Sines CalculatorSolve a triangle from one side and two angles.Inverse Trig CalculatorFind arcsin, arccos or arctan of a value.Cosecant, Secant and Cotangent CalculatorFind csc, sec and cot of an angle.Unit Circle CalculatorFind the coordinates on the unit circle for any angle.Trig Identity Verifier (Pythagorean Identity)Verify the Pythagorean identity sin²θ + cos²θ = 1 for any angle.
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