Math Calculators
Percentages, geometry, algebra and trigonometry made effortless, with the formulas explained.
410 calculators available.
Percentages
Percentage Calculator
Find what a percentage of a number is (X% of Y).
Percentage Change Calculator
Find the percent increase or decrease between two values.
Percent Error Calculator
Compare a measured value to the true value as a percentage error.
Percentage Increase Calculator
Add a percentage to a starting value.
Percentage Decrease Calculator
Subtract a percentage from a starting value.
Fraction to Percent Calculator
Convert a fraction to a percentage and decimal.
Decimal to Percent Calculator
Convert a decimal to a percentage.
Percentage Difference Calculator
Find the percentage difference between two values.
Percent to Goal Calculator
Track progress toward a goal as a percentage.
Percentage of a Percentage Calculator
Find a percentage of another percentage.
Doubling Time Calculator
Time to double at a growth rate.
Relative Change Calculator
Relative difference formula.
Percentage Point Calculator
Difference in percentage points.
Average Percentage Calculator
Find the correct average of two percentages, weighted by their sample sizes.
Time Percentage Calculator
Find what percentage one duration is of another.
Slope Percentage Calculator
Convert a rise and run into slope as a percentage, ratio and angle.
Percentage Increase Classic Calculator
Increase a starting value by a percentage.
Arithmetic
Average (Mean) Calculator
Find the arithmetic mean of up to five numbers.
GCF Calculator
Find the greatest common factor of two numbers.
LCM Calculator
Find the least common multiple of two numbers.
Factorial Calculator
Compute n! (the product 1 × 2 × … × n).
Square Root Calculator
Find the square root of a number.
Cube Root Calculator
Find the cube root of a number.
Exponent Calculator
Raise a base to a power.
Logarithm Calculator
Find the logarithm of a number in any base.
Rounding Calculator
Round a number to a chosen number of decimals.
Scientific Notation Calculator
Convert a number to scientific notation.
Ratio Calculator
Simplify a ratio to its lowest terms.
Adding Fractions Calculator
Add two fractions and simplify the result.
Simplify Fractions Calculator
Reduce a fraction to its lowest terms.
Decimal to Fraction Calculator
Convert a decimal into a simplified fraction.
Proportion Calculator
Solve a/b = c/x for the missing value.
Prime Number Calculator
Check whether a number is prime.
Digit Sum Calculator
Add up the digits of a number.
Modulo Calculator
Find the remainder and quotient of a division.
Prime Factorization Calculator
Break a number into its prime factors.
Reciprocal Calculator
Find the reciprocal (multiplicative inverse) of a number.
Absolute Value Calculator
Find the absolute value (distance from zero).
Harmonic Mean Calculator
Find the harmonic mean of up to three numbers.
Significant Figures Calculator
Round a number to a number of significant figures.
Triangular Number Calculator
Find the nth triangular number.
Unit Rate Calculator
Find a rate per single unit.
Addition Calculator
Sum of numbers.
Subtraction Calculator
Difference between two numbers.
Multiplication Calculator
Product of two numbers.
Division Calculator
Quotient of two numbers.
Ceiling and Floor Calculator
Round up or down to integer.
Perfect Square Checker
Is a number a perfect square?
Standard Form Calculator
Write a number in A × 10ⁿ form.
Absolute Change Calculator
|a − b|.
Cross Multiplication Calculator
Check if a/b = c/d.
Consecutive Integers Calculator
Sum of n consecutive integers.
Divisibility Test Calculator
Check if a divides b.
Inverse Modulo Calculator
Find x where a·x ≡ 1 (mod m).
Order of Magnitude Calculator
Power of 10 of a number.
Root Mean Square Calculator
RMS of values.
Multiplicative Inverse Calculator
1/x.
Power Mod Calculator
(a^b) mod m.
Simplify Radicals Calculator
Simplify √(a²·b) = a√b.
Round to the Nearest Ten Calculator
Round to nearest 10.
Round to the Nearest Hundred Calculator
Round to nearest 100.
Round to Thousandth Calculator
Round to 3 decimal places.
Rationalize Denominator Calculator
1/√a → √a/a.
Even or Odd Checker
Is a number even or odd?
Mean Calculator
Find the arithmetic mean (average) of a list of numbers.
Chinese Remainder Theorem Calculator
Solve x ≡ a (mod m) and x ≡ b (mod n) for coprime moduli.
Fundamental Counting Principle Calculator
Multiply the number of choices at each stage to count total outcomes.
Relatively Prime Calculator
Check whether two numbers are coprime (share no common factor).
Perfect Cube Calculator
Check if a number is a perfect cube and find its cube root.
Powers of i Calculator
Find iⁿ, which cycles through i, −1, −i and 1.
Quotient Calculator
Find the quotient and remainder of integer division.
Remainder Calculator
Find the remainder when one number is divided by another.
Place Value Calculator
Find the place value of a chosen digit in a whole number.
Greater Than or Less Than Calculator
Compare two numbers and get the correct inequality symbol.
Distributive Property Calculator
Apply a(b + c) = ab + ac and verify both sides match.
Associative Property Calculator
Show that (a + b) + c = a + (b + c).
Ceiling Function Calculator
Round a number up to the nearest integer.
Floor Function Calculator
Round a number down to the nearest integer.
Floor Division Calculator
Divide and round the result down to a whole number.
Compatible Numbers Calculator
Round numbers to compatible values for quick mental estimates.
Egyptian Fractions Calculator
Express a fraction as a sum of distinct unit fractions.
Fermat's Little Theorem Calculator
Compute aᵖ⁻¹ mod p, which is 1 when p is prime and a is not a multiple of p.
GCF and LCM Calculator
Find both the greatest common factor and least common multiple of two numbers.
Magic Square Calculator
Find the magic constant of an n×n magic square.
Partial Products Calculator
Multiply two numbers and see the product (partial-products method).
Sum of Products Calculator
Compute Σ(aᵢ × bᵢ) for paired values.
Terminating Decimals Calculator
Check whether a fraction gives a terminating decimal.
Simplify Cube Root Calculator
Simplify ∛n into a·∛b form.
Long Addition Calculator
Add two numbers, column by column.
Long Subtraction Calculator
Subtract two numbers, column by column.
Long Multiplication Calculator
Multiply two multi-digit numbers.
Fourth Root Calculator
Find the fourth root of a number.
Fifth Root Calculator
Find the fifth root of a number.
Engineering Notation Calculator
Convert a number to engineering notation (powers of 1000).
Divisor Calculator
List the divisors of a number, with their count and sum.
Euclidean Algorithm Calculator
Find the GCD of two numbers using the Euclidean algorithm.
Permutation and Combination Calculator
Find nPr (permutations) and nCr (combinations).
Fractions
Multiplying Fractions Calculator
Multiply two fractions and simplify.
Dividing Fractions Calculator
Divide one fraction by another.
Subtracting Fractions Calculator
Subtract one fraction from another.
Mixed Number to Improper Fraction Calculator
Convert a mixed number to an improper fraction.
Improper Fraction to Mixed Number Calculator
Convert an improper fraction to a mixed number.
Equivalent Fractions Calculator
Find an equivalent fraction by scaling.
Comparing Fractions Calculator
Compare two fractions to see which is larger.
Least Common Denominator Calculator
LCD of two fractions.
Fraction Exponent Calculator
x^(a/b) = ᵇ√(xᵃ).
Algebra
Quadratic Formula Calculator
Solve ax² + bx + c = 0 for its real roots.
Arithmetic Sequence Calculator
Find the nth term and sum of an arithmetic sequence.
Geometric Sequence Calculator
Find the nth term and sum of a geometric sequence.
Binomial Coefficient Calculator
n choose k = C(n,k).
Discriminant Calculator
Δ = b² − 4ac for ax²+bx+c.
Complex Number Magnitude
|a+bi| = √(a²+b²).
Complex Conjugate Calculator
a+bi → a−bi.
Complex Number to Polar Form
a+bi → r∠θ.
Absolute Value Equation Calculator
Solve |ax + b| = c for both solutions.
System of Equations Calculator
Solve two linear equations a₁x + b₁y = c₁ and a₂x + b₂y = c₂.
Substitution Method Calculator
Solve a 2×2 linear system by substitution.
Elimination Method Calculator
Solve a 2×2 linear system by elimination (addition).
Direct Variation Calculator
Find the constant k in y = kx and predict a new y.
Inverse Variation Calculator
Find the constant k in y = k/x and predict a new y.
FOIL Calculator
Expand (ax + b)(cx + d) into a quadratic using FOIL.
Multiplying Binomials Calculator
Multiply two binomials (ax + b)(cx + d) and get the expanded form.
Square of a Binomial Calculator
Expand (ax + b)² into a perfect-square trinomial.
Perfect Square Trinomial Calculator
Check whether ax² + bx + c is a perfect square and factor it.
Cubic Equation Calculator
Find a real root of ax³ + bx² + cx + d = 0.
Gamma Function Calculator
Evaluate the gamma function Γ(x), the continuous extension of factorial.
Error Function Calculator
Evaluate the error function erf(x) and its complement erfc(x).
Complex Number Calculator
Add, subtract, multiply or divide two complex numbers.
Quaternion Calculator
Multiply two quaternions (Hamilton product).
Power Set Calculator
Count the subsets (power set size) of a set with n elements.
Subset Calculator
Count how many subsets and k-element subsets a set has.
Union and Intersection Calculator
Find |A ∪ B| from the sizes of two sets and their intersection.
Completing the Square Calculator
Rewrite ax² + bx + c in vertex form a(x − h)² + k.
Factoring Trinomials Calculator
Factor ax² + bx + c by finding its roots.
Diamond Problem Calculator
Find two numbers given their product and sum.
Synthetic Division Calculator
Divide a cubic ax³ + bx² + cx + d by (x − r).
Polynomial Division Calculator
Divide ax² + bx + c by a linear divisor dx + e.
Complex Root Calculator
Find the principal square root of a complex number a + bi.
Descartes' Rule of Signs Calculator
Estimate the possible number of positive and negative real roots of a cubic.
Adding and Subtracting Polynomials Calculator
Add or subtract two quadratics by combining like terms.
Multiplying Polynomials Calculator
Multiply two quadratics to get a degree-4 polynomial.
Bessel Function Calculator
Evaluate the Bessel functions J₀(x) and J₁(x).
Box Method Calculator
Multiply (ax + b)(cx + d) using the box (area) method.
Generic Rectangle Calculator
Use a generic rectangle to expand or factor a quadratic.
Interval Notation Calculator
Build interval notation from endpoints and inclusivity.
Inequality to Interval Notation Calculator
Solve a linear inequality ax + b ≷ c and write the interval.
Absolute Value Inequalities Calculator
Solve |ax + b| < c or |ax + b| > c.
Partial Fraction Decomposition Calculator
Decompose (px + q) ÷ ((x − r₁)(x − r₂)) into A/(x − r₁) + B/(x − r₂).
Rational Zeros Calculator
List possible rational zeros from the leading and constant coefficients.
Imaginary Number Calculator
Find the modulus, conjugate and argument of a + bi.
Complex Number to Polar Form Calculator
Convert a + bi into polar form r∠θ.
Complex Number to Rectangular Form Calculator
Convert polar form r∠θ into a + bi.
Multiply Complex Numbers Calculator
Multiply two complex numbers (a + bi)(c + di).
Divide Complex Numbers Calculator
Divide two complex numbers (a + bi) ÷ (c + di).
Exponents and logarithms
Natural Log Calculator
Find the natural logarithm (ln) of a number.
Log Base 2 Calculator
Find the base-2 logarithm of a number.
e^x Calculator
Raise Euler's number e to a power.
Nth Root Calculator
Find the nth root of a number.
Exponential Growth Calculator
Project exponential growth or decay over time.
Power of a Power Calculator
Simplify (base^a)^b.
Antilog Calculator
10^x from a log value.
Change of Base Calculator
log_b(x) using any base.
Condense Logarithms Calculator
Combine a·log(x) + b·log(y) into a single logarithm value.
Expanding Logarithms Calculator
Expand log(xᵃ · yᵇ) into separate logarithm terms.
Multiplying Exponents Calculator
Multiply powers with the same base by adding exponents.
Dividing Exponents Calculator
Divide powers with the same base by subtracting exponents.
Multiplying Radicals Calculator
Multiply two square roots: √a × √b = √(ab).
Dividing Radicals Calculator
Divide two square roots: √a ÷ √b = √(a/b).
Exponential Function Calculator
Evaluate y = a · bˣ for given values.
Negative Log Calculator
Compute −log₁₀(x), as used for pH and pKa.
Power of 2 Calculator
Compute 2 raised to any exponent.
Power of 10 Calculator
Compute 10 raised to any exponent.
Math Power Calculator
Raise any base to any exponent.
Power Function Calculator
Evaluate a power function f(x) = a·xⁿ.
Rational Exponents Calculator
Evaluate x^(p/q), a power with a fractional exponent.
Exponential Form Calculator
Convert a radical ᵑ√x into exponential form x^(1/n).
2D geometry
Circle Calculator
Find a circle's area, circumference and diameter from its radius.
Rectangle Area Calculator
Find the area and perimeter of a rectangle.
Triangle Area Calculator
Find a triangle's area from its base and height.
Square Calculator
Find a square's area, perimeter and diagonal.
Cube Calculator
Find a cube's volume, surface area and diagonal.
Sphere Calculator
Find a sphere's volume and surface area.
Cylinder Calculator
Find a cylinder's volume and surface area.
Cone Calculator
Find a cone's volume, slant height and surface area.
Trapezoid Area Calculator
Find the area of a trapezoid.
Golden Ratio Calculator
Find golden-ratio segments from a length.
Pentagon Calculator
Area and perimeter of a regular pentagon.
Hexagon Calculator
Area and perimeter of a regular hexagon.
Octagon Calculator
Area and perimeter of a regular octagon.
Ellipse Calculator
Area and approximate perimeter of an ellipse.
Parallelogram Area Calculator
Find the area of a parallelogram.
Rhombus Area Calculator
Find the area of a rhombus from its diagonals.
Sector Area Calculator
Find the area and arc length of a circle sector.
Arc Length Calculator
Find the arc length of a circle.
Circumference Calculator
Find a circle's circumference and diameter from the radius.
Slope Calculator
Find the slope between two points.
Midpoint Calculator
Find the midpoint between two points.
Distance Calculator (2D)
Find the distance between two 2D points.
3D Distance Calculator
Find the distance between two 3D points.
Semicircle Area Calculator
Area and perimeter of a semicircle.
Kite Area Calculator
Area = (d1 × d2) ÷ 2.
Regular Polygon Calculator
Area and perimeter from side count and length.
Perimeter Calculator
Rectangle perimeter.
Diagonal of a Rectangle Calculator
d = √(L²+W²).
Area of a Circle Calculator
A = π r².
Perimeter of a Square Calculator
P = 4a.
Perimeter of a Rectangle Calculator
P = 2(L+W).
Parallelogram Area Calculator (Alias)
A = b × h.
Area of a Trapezoid Calculator
A = (a+b)·h/2.
Circumference of a Circle Calculator
C = 2πr.
Diameter to Radius Calculator
r = d ÷ 2.
Radius of a Circle Calculator
r from circumference or area.
Polygon Angle Calculator
Interior angle of n-gon.
Area of a Square Calculator
A = side².
Diagonal of a Square Calculator
d = a√2.
Quarter Circle Area Calculator
A = πr²/4.
Foci of an Ellipse
c = √(a²−b²).
Circumference to Radius Calculator
Find a circle's radius and diameter from its circumference.
Equation of a Circle Calculator
Get circle properties from centre (h, k) and radius r.
Square in a Circle Calculator
Find the largest square that fits inside a circle of given radius.
Tangent of a Circle Calculator
Find the tangent length from an external point to a circle.
Irregular Polygon Area Calculator
Find the area of a polygon from up to five vertex coordinates (shoelace formula).
Center of Mass Calculator
Find the 1D center of mass of up to three point masses.
Centroid Calculator
Find the centroid of a triangle from its three vertices.
Chord Length Calculator
Find a circle's chord length from its radius and central angle.
Cycloid Calculator
Find the arc length and area of one cycloid arch.
Ellipse Calculator
Find an ellipse's area, circumference and eccentricity.
Golden Rectangle Calculator
Find the dimensions of a golden rectangle from one side.
Moment of Inertia Calculator
Find the moment of inertia for common rigid shapes.
Orthocenter Calculator
Find the orthocenter of a triangle from its three vertices.
Segment Addition Postulate Calculator
Use AB + BC = AC to find a missing segment length.
Segment Area Calculator
Find the area of a circular segment from radius and central angle.
Spiral Length Calculator
Estimate the length of an Archimedean spiral.
Heptagon Calculator
Find the area and perimeter of a regular heptagon (7 sides).
Decagon Calculator
Find the area and perimeter of a regular decagon (10 sides).
Dodecagon Calculator
Find the area and perimeter of a regular dodecagon (12 sides).
Parallelogram Perimeter Calculator
Find the perimeter of a parallelogram from its two side lengths.
Rhombus Area Calculator
Find a rhombus's area from its two diagonals.
Quarter Circle Calculator
Find the area and perimeter of a quarter circle.
Quarter Circle Perimeter Calculator
Find just the perimeter of a quarter circle.
Triangles
Heron's Formula Calculator
Find a triangle's area from its three sides.
Equilateral Triangle Calculator
Area, height and perimeter of an equilateral triangle.
Isosceles Triangle Calculator
Area, height and perimeter of an isosceles triangle.
Right Triangle Calculator
Solve a right triangle from its two legs.
Triangle Angle Calculator
Find the third angle of a triangle.
45 45 90 Triangle Calculator
Solve a 45-45-90 right triangle from a leg.
30 60 90 Triangle Calculator
Solve a 30-60-90 triangle from the short leg.
Pythagorean Triples Checker
Check if (a,b,c) is a Pythagorean triple.
Triangle Inequality Checker
Can three sides form a triangle?
Perimeter of a Triangle Calculator
P = a + b + c.
Area of a Triangle SAS Calculator
Area = ½ a b sin(C).
Area of a Triangle SSS Calculator
Heron's formula alias.
Sum of Angles in a Triangle
Third angle from two.
Isosceles Right Triangle Hypotenuse
c = a√2.
Triangle Height Calculator
h = 2A ÷ b.
Midsegment of a Triangle Calculator
Midsegment = base/2.
Scalene Triangle Calculator
Area via Heron for scalene.
Area of a Right Triangle Calculator
Find the area of a right triangle from its two legs.
Hypotenuse Calculator
Find the hypotenuse of a right triangle from its two legs.
Classifying Triangles Calculator
Classify a triangle by its sides and angles.
Similar Triangles Calculator
Find a missing side using the scale factor between similar triangles.
Circumscribed Circle Calculator
Find the circumradius of a triangle from its three sides.
Inscribed Circle Calculator
Find the inradius of a triangle from its three sides.
Right Triangle Side and Angle Calculator
Find the remaining sides and angle from one leg and its opposite angle.
Special Right Triangles Calculator
Find all sides of a 45-45-90 or 30-60-90 triangle from the short side.
Angles
Complementary Angles Calculator
Find the angle that completes 90°.
Supplementary Angles Calculator
Find the angle that completes 180°.
Clock Angle Calculator
Find the angle between clock hands.
Coterminal Angle Calculator
Find positive and negative coterminal angles.
Reference Angle Calculator
Find the reference angle (0–90°) for any angle.
Angle Between Two Vectors Calculator
Find the angle between two 3D vectors.
Central Angle Calculator
Find a circle's central angle from arc length and radius.
Inscribed Angle Calculator
Find the inscribed angle from its central angle (it is half).
3D geometry
Rectangular Prism Calculator
Volume, surface area and diagonal of a box.
Pyramid Volume Calculator
Find the volume of a rectangular-base pyramid.
Triangular Prism Calculator
Find the volume of a triangular prism.
Hemisphere Calculator
Volume and surface area of a hemisphere.
Torus Calculator
Find torus volume and surface area.
Tetrahedron Volume Calculator
Volume of a regular tetrahedron.
Truncated Cone (Frustum) Calculator
Find frustum volume.
Sphere Volume Calculator
V = 4/3 π r³.
Volume of a Cube Calculator
V = a³.
Cylinder Volume Calculator
V = π r² h.
Cone Volume Calculator
V = π r² h / 3.
Volume of a Pyramid Calculator
V = base-area × h / 3.
Volume of a Rectangular Prism
V = l × w × h.
Ellipsoid Volume Calculator
V = 4/3 π a b c.
Great Circle Distance Calculator
Haversine distance on a sphere.
Surface Area of a Sphere Calculator
SA = 4πr².
Surface Area of a Cube Calculator
SA = 6a².
Surface Area of a Cylinder Calculator
SA = 2πr(r+h).
Surface Area of a Cone Calculator
SA = πr(r + l).
Lateral Area of a Cone Calculator
πrl.
Slant Height of a Cone Calculator
l = √(r² + h²).
Radius of a Sphere Calculator
r from volume.
Radius of a Cone Calculator
r from V and h.
Radius of a Cylinder Calculator
r from V and h.
Height of a Cone Calculator
h from V and r.
Height of a Cylinder Calculator
h from V and r.
Cuboid Surface Area
SA = 2(lw+lh+wh).
Cuboid Volume Calculator
V = lwh.
Sphere Area Calculator
SA = 4πr².
Slant Height of a Cone
l = √(r²+h²).
Square Pyramid Volume
V = a²h/3.
Triangular Pyramid Volume
V = Bh/3.
Truncated Cone Volume
V = πh/3(R²+Rr+r²).
Volume of a Hemisphere Calculator
Find the volume of a hemisphere from its radius.
Surface Area of a Hemisphere Calculator
Find the total surface area of a solid hemisphere.
Euler's Formula for Polyhedron Calculator
Use V − E + F = 2 to find the missing count for a convex polyhedron.
Surface Area of a Triangular Prism Calculator
Find the surface area of a triangular prism.
Surface Area to Volume Ratio Calculator
Find the surface-area-to-volume ratio of a sphere or cube.
Volume of a Trapezoidal Prism Calculator
Find the volume of a prism with a trapezoidal cross-section.
Cuboid Calculator
Find a cuboid's volume, surface area and space diagonal.
Hollow Cylinder Volume Calculator
Find the volume of a pipe / hollow cylinder.
Square Pyramid Calculator
Find a square pyramid's volume, surface area and slant height.
Square Pyramid Volume Calculator
Find the volume of a square pyramid.
Rectangular Pyramid Volume Calculator
Find the volume of a rectangular-based pyramid.
Hexagonal Pyramid Calculator
Find the volume and surface area of a regular hexagonal pyramid.
Truncated Cone Calculator
Find the volume, slant height and lateral area of a frustum (truncated cone).
Area of a Frustum of a Cone Calculator
Find the lateral and total surface area of a cone frustum.
Lateral Area of a Trapezoidal Prism Calculator
Find the lateral surface area of a trapezoidal prism.
Pyramid Angle Calculator
Find the face and edge angles of a square pyramid.
Coordinate geometry
Endpoint Calculator
Find an endpoint from a start point and the midpoint.
Line Equation from Two Points
Find the slope-intercept equation through two points.
Dot Product Calculator
Find the dot product of two 2D vectors.
Polar to Cartesian Converter
(r,θ) → (x,y).
Manhattan Distance Calculator
|X₁−X₂| + |Y₁−Y₂|.
Linear Interpolation Calculator
Find y at x on a line.
Rectangular to Polar Coordinates
(x,y) → (r,θ).
Area of Triangle with Coordinates
Shoelace formula.
Cross Product Calculator
A × B for 3D.
Vector Magnitude Calculator
|v| = √(x²+y²+z²).
Unit Vector Calculator
Normalize vector.
Average Rate of Change Calculator
Find the average rate of change of a function between two points.
Cosine Similarity Calculator
Measure the cosine of the angle between two 3D vectors.
Cylindrical Coordinates Calculator
Convert Cartesian (x, y, z) to cylindrical (r, θ, z).
Spherical Coordinates Calculator
Convert Cartesian (x, y, z) to spherical (ρ, θ, φ).
Direction of the Vector Calculator
Find the direction angle of a 2D vector.
Distance from Point to Plane Calculator
Find the distance from a point to the plane ax + by + cz + d = 0.
Intersection of Two Lines Calculator
Find where two lines y = m₁x + b₁ and y = m₂x + b₂ cross.
Parallel Line Calculator
Find the line parallel to y = mx + b that passes through a given point.
Perpendicular Line Calculator
Find the line perpendicular to y = mx + b through a given point.
Point Slope Form Calculator
Build a line from a point and slope, and convert to slope-intercept form.
Slope Intercept Form Calculator
Evaluate y = mx + b and find roots and intercepts.
Standard Form to Slope Intercept Form Calculator
Convert Ax + By = C into y = mx + b.
y-Intercept Calculator
Find the y-intercept of the line through two points.
Rise Over Run Calculator
Find slope as rise divided by run, plus the angle.
Rotation Calculator
Rotate a point about the origin by a given angle.
Ratios of Directed Line Segments Calculator
Find the point dividing a segment in a given ratio (section formula).
Vector Addition Calculator
Add two 2D vectors and find the resultant magnitude and direction.
Vector Projection Calculator
Project vector a onto vector b (2D).
Vertex Form Calculator
Convert vertex form a(x − h)² + k into standard form.
Parabola Calculator
Find the vertex, axis and direction of y = ax² + bx + c.
Latus Rectum Calculator
Find the latus rectum length of the parabola y = ax².
Volume of a Parallelepiped Calculator
Find the volume from three edge vectors via the scalar triple product.
Bilinear Interpolation Calculator
Interpolate a value inside a grid from its four corner values.
Catenary Curve Calculator
Find the height and arc length of a hanging catenary y = a·cosh(x/a).
Coordinate Grid Calculator
Find the distance and midpoint between two grid points.
Equation of a Sphere Calculator
Get a sphere's volume, surface area and general-form constant from centre and radius.
Gradient Calculator
Find the gradient (slope) of the line through two points.
Least Squares Regression Line Calculator
Fit a best-fit line y = mx + b through up to five points.
Line of Intersection of Two Planes Calculator
Find the direction vector of the line where two planes meet.
Triangulation Calculator
Locate a point's distance using a baseline and two angles.
Euclidean Distance Calculator
Find the straight-line distance between two points in 3D.
Trigonometry
Pythagorean Theorem Calculator
Find the hypotenuse of a right triangle from the two legs.
Trigonometry Calculator
Find sine, cosine and tangent of an angle.
Law of Cosines Calculator
Find the third side of a triangle from two sides and the included angle.
Law of Sines Calculator
Find a missing side using the law of sines.
Double Angle Calculator
sin(2θ), cos(2θ), tan(2θ).
Half Angle Calculator
sin(θ/2), cos(θ/2), tan(θ/2).
Unit Circle Calculator
Coordinates on the unit circle.
Inverse Trig Calculator
arcsin/arccos/arctan of a value.
Secant and Cosecant Calculator
sec θ = 1/cos θ ; csc θ = 1/sin θ.
Hyperbolic Functions Calculator
sinh x, cosh x, tanh x.
Sine Calculator
sin of an angle.
Cosine Calculator
cos of an angle.
Tangent Calculator
tan of an angle.
Hyperbolic Sine/Cosine Calculator
sinh/cosh of x.
Arcsin Calculator (Inverse Sine)
Find the angle whose sine is a given value.
Arccos Calculator (Inverse Cosine)
Find the angle whose cosine is a given value.
Arctan Calculator (Inverse Tangent)
Find the angle whose tangent is a given value.
Cotangent Calculator
Find the cotangent of an angle.
Cofunction Calculator
Apply cofunction identities like sin θ = cos(90° − θ).
Phase Shift Calculator
Find amplitude, period, phase and vertical shift of A·sin(Bx − C) + D.
Power Reducing Calculator
Evaluate power-reducing identities like sin²θ = (1 − cos 2θ)/2.
Sum and Difference Identities Calculator
Evaluate sin/cos/tan of a sum or difference of two angles.
Decimal Degrees to DMS Converter
Convert decimal degrees to degrees, minutes and seconds.
DMS to Decimal Degrees Converter
Convert degrees, minutes and seconds to decimal degrees.
Sequences
Fibonacci Calculator
Find the nth Fibonacci number.
Harmonic Number Calculator
Find the nth harmonic number.
Pascal's Triangle Calculator
Row n of Pascal's triangle.
Collatz Conjecture Explorer
Step count to reach 1.
Sequence Calculator
nth term of arithmetic/geometric.
Sum of Series Calculator
Sum 1..n.
Sum of a Linear Number Sequence Calculator
Sum an arithmetic sequence from its first term, common difference and length.
Sequence Calculator
Find the nth term and partial sum of an arithmetic or geometric sequence.
Binary
Bitwise Calculator
Find AND, OR and XOR of two numbers.
Binary Addition Calculator
Add two decimal numbers in binary.
One's Complement Calculator
Bitwise NOT (flip all bits).
Two's Complement Calculator
Signed representation of a decimal.
Binary Calculator (Decimal ⇄ Binary)
Convert a decimal integer to binary and back.
Binary Subtraction Calculator
Subtract two numbers and show the binary result.
Binary Multiplication Calculator
Multiply two numbers and show the binary product.
Binary Division Calculator
Divide two numbers and show the binary quotient and remainder.
AND Calculator
Compute the bitwise AND of two integers.
OR Calculator
Compute the bitwise OR of two integers.
XOR Calculator
Compute the bitwise exclusive OR of two integers.
NOR Calculator
Compute the bitwise NOR of two integers (width-limited).
Bit Shift Calculator
Shift an integer's bits left or right.
Binary Fraction Converter
Convert a decimal value (with a fractional part) to binary.