Math Calculators133 calculators
Math can get complicated quickly, but the right tool can turn a confusing problem into a clear solution. This collection covers a wide range of needs: students can check homework or break down complex algebra, and teachers can use fast calculators to explain geometry, calculus, and more in the classroom. If you’re working through a tricky equation or measuring the area of an unusual shape, these calculators give direct answers so you can focus on understanding the concepts instead of the number crunching. Browse through and discover helpful resources for your next lesson, assignment, or exam.
2D Geometry
Area of Rectangle Calculator
Calculate the area, perimeter, and diagonal length of a rectangle from its length and width.
Centroid Calculator
Calculate the centroid (center of mass) of a triangle from three vertex coordinates. Shows the average of x and y values.
Ellipse Calculator
Calculate ellipse area, circumference, eccentricity, and foci from the semi-major and semi-minor axes.
Hexagon Calculator
Calculate area, perimeter, apothem, and diagonals of a regular hexagon from its side length.
Octagon Calculator
Calculate area, perimeter, apothem, and longest diagonal of a regular octagon from its side length.
Perimeter Calculator
Calculate the perimeter of common shapes: rectangle, triangle, circle (circumference), and regular polygon. Also shows the area as a bonus.
Regular Polygon Calculator
Calculate the area, perimeter, interior angle, apothem, and circumradius of any regular polygon given the number of sides and side length.
Trapezoid Calculator
Calculate trapezoid area, perimeter, and median from parallel sides (bases) and height or all four sides.
3D Geometry
Cube Calculator
Calculate the volume, surface area, face diagonal, and space diagonal of a cube from its side length.
Rectangular Prism Calculator
Calculate the volume, surface area, and space diagonal of a rectangular prism (box) from its length, width, and height.
Sphere Calculator
Calculate sphere volume, surface area, diameter, and circumference from the radius or other known values.
Surface Area Calculator
Calculate the surface area of 3D shapes including cube, rectangular prism, sphere, cylinder, and cone. Get total, lateral, and base surface areas.
Triangular Prism Calculator
Calculate the volume and surface area of a triangular prism from the base triangle dimensions and prism length.
Triangular Prism Surface Area Calculator
Calculate the total surface area of a triangular prism with detailed breakdown of lateral area, base area, and each individual face.
Volume of a Prism Calculator
Calculate the volume of triangular, rectangular, and hexagonal prisms. Also find the base area, lateral surface area, and total surface area.
Volume of a Pyramid Calculator
Calculate the volume of a pyramid with a square, rectangular, or triangular base. Also find the base area and slant height.
Algebra
Binomial Coefficient Calculator
Calculate n choose k (C(n,k) = n! / (k!(n-k)!)). Find combinations for probability, combinatorics, and Pascal's triangle.
Completing the Square Calculator
Convert a quadratic expression ax² + bx + c into vertex form a(x - h)² + k. Find the vertex, roots, and discriminant instantly.
Complex Number Calculator
Add, subtract, multiply, and divide complex numbers. Shows results in rectangular (a + bi) and polar (r, theta) form.
Cubic Equation Calculator
Solve cubic equations of the form ax³ + bx² + cx + d = 0. Finds all real and complex roots using Cardano's method.
Discriminant Calculator
Calculate the discriminant (b² - 4ac) of a quadratic equation and determine the number and type of roots.
FOIL Calculator
Multiply two binomials using the FOIL method. Shows First, Outer, Inner, Last terms and the simplified result.
Parametric Equation Calculator
Evaluate parametric equations x(t) and y(t) at a given t. Supports common parametric curves: line, circle, ellipse, and parabola with Cartesian conversion.
Partial Fraction Calculator
Decompose a rational expression into partial fractions. Handles distinct linear factors for degree-2 denominators of the form (x - a)(x - b).
Polar to Rectangular Calculator
Convert between polar coordinates (r, theta) and rectangular coordinates (x, y). Supports both degrees and radians.
Quadratic Equation Calculator
Solve quadratic equations of the form ax² + bx + c = 0. Finds real and complex roots using the quadratic formula.
Synthetic Division Calculator
Divide a polynomial by (x - c) using synthetic division. Enter coefficients up to degree 5 and get the quotient and remainder instantly.
System of Equations Calculator
Solve 2x2 or 3x3 systems of linear equations using Cramer's rule. Find the unique solution, detect infinite or no-solution cases, and view the system determinant.
Arithmetic
Absolute Value Calculator
Calculate the absolute value of any number, find the distance between two numbers, and solve absolute value equations.
Cross Multiplication Calculator
Solve proportions using cross multiplication. Find the missing value in a/b = c/d and verify proportion equality.
Cube Root Calculator
Calculate the cube root or any nth root of a number. Verify results and check for perfect roots.
Decimal Calculator
Add, subtract, multiply, or divide decimals with step-by-step explanations. Converts results to fractions and shows decimal places.
Divisibility Test Calculator
Test whether a number is divisible by 2 through 12. Shows which divisibility rules apply and the remainder for each.
Equivalent Ratio Calculator
Find equivalent ratios and scale ratios up or down. Enter a ratio and a multiplier or target value to generate equivalent ratios.
Factor Calculator
Find all factors of any positive integer. Shows factor pairs, total count, sum of factors, and whether the number is prime.
Factorial Calculator
Calculate the factorial of any non-negative integer (n!). Also computes permutations, combinations, and double factorials.
GCD & LCM Calculator
Find the Greatest Common Divisor (GCD) and Least Common Multiple (LCM) of two numbers.
Geometric Mean Calculator
Calculate the geometric mean of a set of positive numbers. Useful for growth rates, financial returns, and ratios.
Harmonic Mean Calculator
Calculate the harmonic mean of positive numbers. Ideal for averaging rates, speeds, and ratios where the denominator varies.
Long Division Calculator
Perform long division with step-by-step results showing quotient, remainder, and decimal expansion.
Modulo Calculator
Calculate the remainder of a division (modulo operation). Find a mod b for any two numbers.
Percent Error Calculator
Calculate the percent error between an experimental (measured) value and a theoretical (accepted) value.
Percentage Calculator
Calculate percentages: find X% of Y, what percent X is of Y, or percentage change between two values.
Percentage Change Calculator
Calculate the percentage increase or decrease between two values, including absolute change and direction.
Percentage Difference Calculator
Calculate the percentage difference between two values using their average as the reference point.
Pi Calculator
Display pi to N digits, calculate circumference and area from radius, and compare common pi approximations like 22/7 and 355/113.
Prime Factorization Calculator
Find the prime factorization of any positive integer. Breaks a number down into its prime factors with exponents.
Prime Number Calculator
Check if a number is prime and find its prime factorization. Also shows the nearest primes and divisor count.
Calculus
Derivative Calculator
Compute numerical first and second derivatives at any point using the central difference method. Supports polynomial, trigonometric, exponential, and logarithmic functions.
Integral Calculator
Compute definite integrals numerically using Simpson's rule. Supports polynomial, trigonometric, exponential, and logarithmic functions with error estimation.
Circle
Arc Length Calculator
Calculate the arc length, sector area, and chord length of a circle given the radius and central angle.
Area of a Circle Calculator
Calculate the area of a circle from the radius, diameter, or circumference. Shows all related circle measurements instantly.
Circle Calculator
Calculate circle properties: area, circumference, diameter, and sector area from the radius or other known values.
Circumference Calculator
Calculate the circumference of a circle from its radius or diameter. Also computes area, and can reverse-solve for radius from circumference.
Sector Area Calculator
Calculate the area, arc length, chord length, and perimeter of a circle sector from the radius and central angle.
Semicircle Area Calculator
Calculate the area, perimeter, diameter, and radius of a semicircle from the radius or diameter.
Coordinate Geometry
Cross Product Calculator
Calculate the cross product of two 3D vectors. Find the resulting vector, its magnitude, and the area of the parallelogram formed by the input vectors.
Dot Product Calculator
Calculate the dot product of two vectors, the angle between them, and check for orthogonality. Supports 2D and 3D vectors.
Gradient Calculator
Calculate the gradient (slope) between two points on a line. Find rise, run, angle, and percentage gradient.
Linear Interpolation Calculator
Find the value at any point between two known data points using linear interpolation. Uses the formula y = y0 + (x - x0)(y1 - y0) / (x1 - x0).
Midpoint Calculator
Find the midpoint between two points in 2D or 3D space. Calculate the center point of a line segment.
Parabola Calculator
Calculate vertex, focus, directrix, and axis of symmetry for a parabola in standard or vertex form.
Point-Slope Form Calculator
Convert between point-slope, slope-intercept, and standard form of a linear equation. Enter a point and slope to see all three forms.
Rise Over Run Calculator
Calculate slope as rise over run from two points or direct values. Convert slope to angle in degrees and grade percentage.
Slope Calculator
Calculate the slope, y-intercept, and equation of a line through two points. Find rise, run, and angle of inclination.
Vector Calculator
Perform vector operations including magnitude, addition, subtraction, and scalar multiplication for 2D and 3D vectors.
Vertex Form Calculator
Convert y = ax² + bx + c to vertex form y = a(x-h)² + k. Find the vertex, axis of symmetry, and direction of the parabola.
Fractions
Decimal to Fraction Converter
Convert any decimal number to its simplest fraction form. Supports terminating and repeating decimals.
Fraction to Decimal & Percentage Converter
Convert fractions to decimals and percentages. Enter a numerator and denominator to get instant results.
Golden Ratio Calculator
Calculate golden ratio relationships between segments. Find the longer segment, shorter segment, or total from any known value.
Mixed Number Calculator
Convert between mixed numbers and improper fractions. Add, subtract, multiply, and divide mixed numbers with step-by-step results.
Proportion Calculator
Solve proportions of the form a/b = c/d. Find any missing value when three of the four values are known.
Ratio Calculator
Simplify ratios, scale ratios, and find equivalent ratios. Works with two-part and three-part ratios.
Unit Rate Calculator
Calculate the unit rate from any ratio. Find price per unit, speed per hour, or any rate with denominator of 1.
Geometry
Area Calculator
Calculate the area of rectangles, circles, and triangles. Select a shape and enter the dimensions.
Cone Calculator
Calculate cone volume, surface area, slant height, and lateral area from radius and height.
Cylinder Calculator
Calculate cylinder volume, surface area, and lateral area from radius and height.
Diagonal of Rectangle Calculator
Calculate the diagonal length of a rectangle from its width and height using the Pythagorean theorem.
Distance Between Points Calculator
Calculate the distance between two points in 2D using the distance formula. Based on the Pythagorean theorem.
Distance Between Points Calculator
Calculate the distance between two points in 2D or 3D space using the Euclidean distance formula.
Parallelogram Calculator
Calculate parallelogram area, perimeter, and diagonals from sides, height, and angle.
Polygon Angle Calculator
Calculate interior angles, exterior angles, angle sums, and area of regular polygons from the number of sides.
Rhombus Calculator
Calculate the area, perimeter, diagonals, angles, and side length of a rhombus from the inputs you have.
Square Diagonal Calculator
Calculate the diagonal of a square from its side length, or find the side length from the diagonal.
Surface Area Rectangular Prism Calculator
Calculate the total and lateral surface area of a rectangular prism (box) from length, width, and height.
Triangular Pyramid Volume Calculator
Calculate the volume of a triangular pyramid (tetrahedron) from base area and height, or from base triangle dimensions.
Volume Calculator
Calculate the volume of cubes, spheres, cylinders, and cones. Select a shape and enter dimensions.
Linear Algebra
Binomial Expansion Calculator
Expand (a + b)^n using the binomial theorem. Shows all terms with Pascal's triangle coefficients. Supports exponents up to 12.
Determinant Calculator
Calculate the determinant of a 2x2 or 3x3 matrix. Shows the formula and step-by-step expansion.
Eigenvalue Calculator
Calculate eigenvalues and eigenvectors of a 2x2 or 3x3 matrix. Shows the characteristic polynomial and step-by-step solution.
LU Decomposition Calculator
Decompose a 2x2 or 3x3 matrix into lower (L) and upper (U) triangular matrices using Doolittle's method.
Matrix Calculator
Calculate determinant, inverse, and transpose for 2x2 and 3x3 matrices.
Matrix Rank Calculator
Find the rank of a 2x2, 3x3, or 4x4 matrix using row echelon form. Shows step-by-step row reduction and the number of non-zero rows.
Null Space Calculator
Find the null space (kernel) of a 2x2 or 3x3 matrix. Determines the set of vectors x where Ax = 0.
Row Echelon Form Calculator
Convert a 2x3 or 3x4 augmented matrix to row echelon form using Gaussian elimination with step-by-step operations.
Sequences
Antilog Calculator
Calculate the antilogarithm (inverse logarithm). Supports base 10 (common), base e (natural), and any custom base. Also shows the log of a given number.
Arithmetic Sequence Calculator
Find the nth term, sum of the first n terms, and preview an arithmetic sequence given the first term, common difference, and term number.
Doubling Time Calculator
Calculate how long it takes for a quantity to double at a given growth rate. Uses the Rule of 70 and the exact formula.
Exponent / Power Calculator
Calculate the result of raising a base number to any power (exponent). Supports positive, negative, and fractional exponents.
Exponential Growth/Decay Calculator
Model exponential growth or decay. Calculate final value, doubling/halving time, and period-by-period values.
Fibonacci Sequence Calculator
Generate Fibonacci numbers, find the nth Fibonacci number, and explore the golden ratio relationship.
Geometric Sequence Calculator
Find the nth term, partial sum, and infinite sum of a geometric sequence given the first term, common ratio, and term number.
Logarithm Calculator
Calculate logarithms with any base. Supports common log (base 10), natural log (base e), binary log (base 2), and custom bases.
Number Sequence Calculator
Find the nth term and sum of arithmetic or geometric sequences. Enter the first term, common difference or ratio, and n to get results.
Summation Calculator
Calculate the sum of arithmetic and geometric series. Find the total, last term, and formula used for any number of terms.
Triangle
Area of a Triangle Calculator
Calculate triangle area using base and height, three sides (Heron's formula), or two sides and an included angle (SAS). Multiple methods supported.
Equilateral Triangle Calculator
Calculate area, perimeter, height, inradius, and circumradius of an equilateral triangle from its side length.
Hypotenuse Calculator
Find the hypotenuse of a right triangle using the Pythagorean theorem. Can also solve for a missing leg given the hypotenuse and other leg.
Inequality Calculator
Solve linear inequalities of the form ax + b > c. Shows the solution in interval notation and describes the number line representation.
Isosceles Triangle Calculator
Calculate area, perimeter, height, base angles, and vertex angle of an isosceles triangle from the equal side and base lengths.
Pythagorean Theorem Calculator
Calculate the missing side of a right triangle using the Pythagorean theorem (a² + b² = c²). Solve for any side given the other two.
Right Triangle Calculator
Solve right triangles from two known sides or one side and one angle. Find all sides, angles, area, and perimeter.
Triangle Calculator
Calculate triangle area, perimeter, and height using base and height, three sides (Heron's formula), or two sides and an included angle.
Triangle Inequality Calculator
Check if three side lengths form a valid triangle. Determine the triangle type (equilateral, isosceles, scalene) and angle classification (acute, right, obtuse). Compute area and perimeter.
Trigonometry
Cosine Calculator
Calculate the cosine of any angle in degrees or radians. Also find the inverse cosine (arccos), secant, and related angle information.
Half Angle Calculator
Calculate sin(θ/2), cos(θ/2), and tan(θ/2) using half-angle identities. Supports degrees and radians.
Law of Cosines Calculator
Solve triangles using the law of cosines. Find the unknown side and remaining angles from two sides and the included angle.
Law of Sines Calculator
Solve triangles using the law of sines. Find unknown sides and angles from one side, its opposite angle, and another angle.
Reference Angle Calculator
Find the reference angle for any angle in degrees or radians. Shows the quadrant and all coterminal trig values.
Secant Cosecant Calculator
Calculate sec, csc, and cot for any angle. Supports degrees and radians with full reciprocal trig values.
Sine Calculator
Calculate the sine of any angle in degrees or radians. Also find the inverse sine (arcsin), cosecant, and related angle information.
Tangent Calculator
Calculate the tangent of any angle in degrees or radians. Also find the inverse tangent (arctan), cotangent, and related angle information.
Trigonometry Calculator
Compute all six trigonometric functions (sin, cos, tan, csc, sec, cot) for any angle in degrees or radians.
Unit Circle Calculator
Look up unit circle reference values for any angle. Get the radian equivalent, sine, cosine, tangent, reference angle, and quadrant.