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Math Calculators

Practical tools for school, work, and everyday number problems

Area Calculator

Calculate area for rectangle, triangle, circle, or trapezoid.

Circumference Calculator

Calculate circle circumference from radius or diameter using C = 2πr or C = πd.

Decimal to Fraction Calculator

Convert a decimal number into a simplified fraction with denominators up to 10,000.

Derivative Calculator

Differentiate a·xⁿ or a quadratic ax²+bx+c, with optional evaluation at a point x₀.

Fibonacci Calculator

Compute the nth Fibonacci number (n up to 90) and optionally list the sequence.

Integral Calculator

Compute the indefinite or definite integral of a power function a·xⁿ using the power rule.

Limit Calculator

Evaluate common limits: (x²−a²)/(x−a), polynomials, simple rationals, and a/x^n as x→∞.

Percent Change Calculator

Calculate percent change from an old value to a new value, with direction.

Percentage Calculator

Calculate percentages, increases, and decreases.

Pythagorean Theorem Calculator

Find any missing side of a right triangle from the other two using a² + b² = c².

Quadratic Formula Calculator

Solve quadratic equations using the quadratic formula.

Scientific Calculator

Perform advanced scientific calculations.

Sine Calculator

Calculate the sine of an angle in degrees or radians.

Slope Calculator

Calculate the slope between two points using rise over run.

Sphere Calculator

Calculate sphere volume and surface area from radius.

System of Equations Calculator

Solve a 2×2 system a1x + b1y = c1, a2x + b2y = c2.

Trigonometry Calculator

Evaluate sin, cos, tan, sec, csc, or cot of an angle in degrees or radians.

Volume Calculator

Calculate volume for cube, sphere, cylinder, cone, or rectangular prism.

30-60-90 Triangle Calculator

Scale a 30-60-90 triangle from the short side: x, x√3, and 2x.

45-45-90 Triangle Calculator

From one leg, find the hypotenuse of a 45-45-90 triangle: leg × √2.

Absolute Value Calculator

Evaluate absolute values for a number or a simple linear expression at x.

Algebra Calculator

Evaluate a ± b × c with order of operations, or solve ax + b = c.

Amplitude and Period Calculator

Find amplitude |A| and period 2π/|B| for sine or cosine waves.

Angle Between Two Vectors Calculator

Find the angle between two 2D vectors using the dot product formula.

Angle of Elevation Calculator

Find the angle of elevation from opposite/adjacent or height and horizontal distance.

Arc Length Calculator

Compute circular arc length from radius and central angle, or from chord length.

Arccos Calculator

Compute arccos (acos) of a value and show degrees and radians.

Arcsin Calculator

Compute arcsin (asin) of a value and show the angle in degrees and radians.

Arctan Calculator

Compute arctan (atan) of a value and show degrees and radians.

Area Between Two Curves Calculator

Compute the definite integral of |f−g| for linear f=ax+b and g=cx+d on [p,q].

Area of a Sector Calculator

Calculate circular sector area from radius and central angle in degrees or radians.

Area of a Semicircle Calculator

Calculate the area of a semicircle from radius or diameter.

Area Under the Curve Calculator

Compute the definite integral of axⁿ or ax²+bx+c from a to b (signed area).

Average Calculator

Find mean, median, mode, and range.

Average Percentage Calculator

Calculate the average (arithmetic mean) of a list of percentage values.

Average Rate of Change Calculator

Compute (f(b)−f(a))/(b−a) for x², a polynomial, or direct y-values.

Average Value of a Function Calculator

Compute the average value (1/(b−a))∫_a^b f(x) dx for linear or quadratic f.

Axis of Symmetry Calculator

Find the vertical axis of symmetry for a parabola y = ax² + bx + c.

Binomial Theorem Calculator

Expand (a + b)^n with binomial coefficients from Pascal’s triangle.

Centroid Calculator

Find the centroid of a triangle from three vertices, or the average of a list of points.

Change of Base Calculator

Convert any log_b(a) using the change-of-base formula with natural logs.

Characteristic Polynomial Calculator

Find the characteristic polynomial of a 2×2 matrix.

Circumcenter Calculator

Find the circumcenter and circumradius of a triangle from three vertices.

Circumference to Diameter Calculator

Convert a circle’s circumference to diameter using d = C/π.

Cofunction Calculator

Apply cofunction identities relating complementary angles for sin, cos, tan, and more.

Comparing Decimals Calculator

Compare two decimal numbers and see which is larger, smaller, or if they are equal.

Comparing Fractions Calculator

Compare two fractions and see which is greater, along with decimals and cross-products.

Completing the Square Calculator

Complete the square for ax² + bx + c and show vertex form.

Composite Function Calculator

Compose linear functions f(x)=ax+b and g(x)=cx+d to get f(g(x)).

Convolution Calculator

Compute the discrete convolution of two comma-separated sequences.

Cosecant Calculator

Calculate the cosecant of an angle: csc θ = 1 / sin θ.

Cosine Calculator

Calculate the cosine of an angle in degrees or radians.

Cotangent Calculator

Calculate the cotangent of an angle: cot θ = 1 / tan θ = cos θ / sin θ.

Coterminal Angle Calculator

Find positive and negative coterminal angles by adding or subtracting 360° or 2π.

Critical Point Calculator

Find critical points of a quadratic or cubic polynomial by solving f′(x) = 0.

Cross Multiplication Calculator

Solve proportions with cross multiplication: find x in a/b = c/x or a/b = x/d.

Cube Root Calculator

Calculate the real cube root of a number x.

Curl Calculator

Compute curl F for a linear vector field F = (P, Q, R) with constant-coefficient partials.

Decimal Calculator

Add, subtract, multiply, or divide two decimal numbers with clear results.

Decimal to Percent Calculator

Convert a decimal number into a percentage by multiplying by 100.

Degree and Leading Coefficient Calculator

Identify degree and leading coefficient from high-to-low coefficients.

Descartes Rule of Signs Calculator

Count possible positive and negative real roots via Descartes’ rule of signs.

Diagonal Calculator

Calculate rectangle/square diagonals and cube face or space diagonals.

Diamond Problem Solver

Find two numbers with a given sum and product.

Differential Equation Calculator

Solve separable exponential growth/decay dy/dx = ky with y(0) = y0.

Dilation Calculator

Dilate a point (x,y) by scale factor k about the origin or a custom center.

Discriminant Calculator

Compute the discriminant and classify the nature of quadratic roots.

Distance Between Two Points Calculator

Calculate Euclidean distance between two points in 2D or 3D.

Distance Formula Calculator

Calculate the Euclidean distance between two points (x1,y1) and (x2,y2).

Distributive Property Calculator

Expand expressions using the distributive property a(b + c).

Divergence Calculator

Compute div F for 2D F=(ax+by, cx+dy) or 3D linear fields.

Domain and Range Calculator

Find domain and range for common function families: square root, reciprocal, log, or quadratic.

Double Angle Calculator

Evaluate double-angle identities for sine, cosine, and tangent of 2θ.

Double Integral Calculator

Evaluate ∬ c dA or ∬ xy dA over a rectangular region [a,b]×[c,d].

Doubling Time Calculator

Estimate doubling time from continuous rate k or use the Rule of 72 for percent growth.

Ellipse Calculator

From semi-axes a and b compute ellipse area, eccentricity, and foci distance.

Endpoint Calculator

Find the other endpoint of a segment given the midpoint and one endpoint.

Equation of a Circle Calculator

Build or expand the circle equation (x−h)² + (y−k)² = r² from center and radius.

Equation of a Line Calculator

Find a line equation from two points or from a point and slope.

Equilateral Triangle Calculator

From one side length, compute area, height, and perimeter of an equilateral triangle.

Equivalent Expressions Calculator

Expand a(bx + c) and report the equivalent linear expression.

Equivalent Fractions Calculator

Generate an equivalent fraction by multiplying numerator and denominator by a scale factor.

Euler's Method Calculator

Approximate solutions of dy/dx = ky or dy/dx = x+y with Euler's method.

Euler's Number Calculator

Approximate e and e^x using a Taylor series.

Even or Odd Function Calculator

Determine if a polynomial is even, odd, or neither from its coefficients.

Explicit Formula Calculator

Evaluate explicit formulas for arithmetic a_n=a1+(n−1)d or geometric a_n=a1·r^(n−1).

Exponent Calculator

Calculate powers and exponents.

Exponential Function Calculator

Evaluate exponential functions a·b^x or e^{kx} at a chosen x.

Exponential Growth Calculator

Project exponential growth with continuous A₀e^{kt} or discrete A₀(1+r)^t models.

FOIL Calculator

Multiply two binomials using FOIL and show each product term.

Fraction Calculator

Add, subtract, multiply, and divide fractions.

Fraction Exponent Calculator

Raise a fraction (a/b) to an integer power n and simplify the result.

Fraction Simplifier Calculator

Simplify any fraction to lowest terms by dividing by the greatest common divisor.

Fraction to Decimal Calculator

Convert a fraction to its decimal equivalent with clear precision.

Fraction to Percent Calculator

Convert a fraction into a percentage and see the decimal along the way.

Frustum of a Cone Volume Calculator

Calculate the volume of a conical frustum from height and two radii.

Function Calculator

Evaluate a quadratic or linear polynomial at a chosen x.

Function Operations Calculator

Add, subtract, multiply, or divide two linear functions and evaluate at x.

Fundamental Counting Principle Calculator

Multiply sequential choice counts using the fundamental counting principle.

Gradient Calculator

Compute the gradient ∇f of f(x,y)=ax²+by²+cxy at a point (x,y).

Graphing Calculator

Build an educational table of values for y=ax²+bx+c or y=ax+b from xmin to xmax.

Half Angle Calculator

Evaluate half-angle formulas for sine, cosine, and tangent of θ/2.

Hemisphere Calculator

Calculate hemisphere volume, curved surface area, and total surface area from radius.

Hyperbola Calculator

From (x−h)²/a² − (y−k)²/b² = 1 compute c, eccentricity, foci, and asymptotes.

Hypotenuse Calculator

Calculate the hypotenuse of a right triangle from legs a and b.

Implicit Differentiation Calculator

Find dy/dx for x²+y²=r² or ax²+by²=c, and evaluate at a point on the curve.

Improper Fraction to Mixed Number Calculator

Convert an improper fraction into a mixed number and decimal.

Improper Integral Calculator

Evaluate convergent improper integrals ∫_a^∞ e^{−kx} dx or ∫_a^∞ x^{−p} dx.

Inequality Calculator

Solve linear inequalities and show the solution in interval form.

Inflection Point Calculator

Find candidate inflection points of a cubic f(x) = ax³+bx²+cx+d where f″(x) = 0.

Interval Notation Calculator

Write inequality bounds in interval notation with open or closed endpoints.

Inverse Function Calculator

Find the inverse of y = ax+b or y = a/x (when defined).

Inverse Laplace Transform Calculator

Invert common Laplace transforms: 1/s, 1/s², 1/(s−a), ω/(s²+ω²), s/(s²+ω²).

Laplace Transform Calculator

Find Laplace transforms of common functions: 1, t, tⁿ, e^{at}, sin(ωt), cos(ωt).

Law of Cosines Calculator

Use the Law of Cosines for SSS (find an angle) or SAS (find the third side).

Law of Sines Calculator

Apply the Law of Sines for AAS/ASA (two angles + one side) or careful SSA ambiguous cases.

LCD Calculator

Find the least common denominator (LCM of denominators) for two fractions.

Linear Approximation Calculator

Approximate f near a with the tangent-line linearization for power, sin, cos, or exp.

Linear Interpolation Calculator

Estimate a value between two known data points with linear interpolation.

Local Maximum and Minimum Calculator

Find critical points of a quadratic or cubic and classify them with the second derivative test.

Log and Antilog Calculator

Compute common and natural logarithms and their antilogs (10^x and e^x).

Log Base 2 Calculator

Calculate the base-2 logarithm log₂(x) for positive x.

Mean Value Theorem Calculator

Find c guaranteed by the Mean Value Theorem on [a,b] for a quadratic.

Midpoint Calculator

Find the midpoint of a line segment between two points in the plane.

Midpoint Rule Calculator

Approximate an integral with the midpoint rule from equally spaced y-values.

Mixed Number Calculator

Convert a mixed number (whole + fraction) into an improper fraction and decimal.

Mixed Number to Improper Fraction Calculator

Convert a mixed number into a simplified improper fraction and decimal.

Modular Inverse Calculator

Find the modular multiplicative inverse of a modulo m.

Monomial Calculator

Multiply or divide monomials of the form coeff·x^n.

Multiplicative Inverse Calculator

Find the reciprocal (multiplicative inverse) of a fraction or decimal.

Multiplying Polynomials Calculator

Multiply two linear polynomials and collect like terms.

Newton's Method Calculator

Iterate Newton's method for ax²+bx+c or x²−2 starting at x₀ for n steps.

Orthocenter Calculator

Find the orthocenter of a triangle from three vertex coordinates in the plane.

Parabola Calculator

Analyze a parabola from focus/directrix or from vertex form y = a(x−h)² + k.

Parallel and Perpendicular Lines Calculator

Find slopes and line equations that are parallel or perpendicular to a given line.

Parallelogram Calculator

Find parallelogram area using base×height or two sides and the included angle.

Partial Derivative Calculator

Compute ∂f/∂x and ∂f/∂y for f = ax²+by²+cxy+dx+ey+f at a point.

Partial Fraction Decomposition Calculator

Decompose a proper rational function with distinct linear factors.

Pascal's Triangle Calculator

Generate row n of Pascal’s triangle (binomial coefficients).

Percent Error Calculator

Calculate percent error between an approximate value and an exact value.

Percent to Decimal Calculator

Convert a percentage into its decimal form by dividing by 100.

Percent to Fraction Calculator

Convert a percentage into a simplified fraction and decimal.

Percentage Decrease Calculator

Find percent decrease from old to new, or decrease a value by a given percent.

Percentage Difference Calculator

Calculate the percentage difference between two numbers using their average.

Percentage Increase Calculator

Find percent increase from old to new, or increase a value by a given percent.

Perimeter Calculator

Calculate perimeter for a rectangle, triangle, or circle.

Point of Intersection Calculator

Find where two lines y = m1x + b1 and y = m2x + b2 intersect.

Point-Slope Form Calculator

Build the point-slope equation of a line from a point and slope.

Polar Coordinates Calculator

Convert between polar (r, θ) and Cartesian (x, y) coordinates with degrees or radians.

Polygon Calculator

Calculate area and perimeter of a regular n-gon from the number of sides and side length.

Polynomial Long Division Calculator

Divide a quadratic cx² + dx + e by a linear ax + b.

Power of 10 Calculator

Express a number in scientific notation using powers of 10.

Power Reducing Formula Calculator

Evaluate power-reducing identities for sin²θ, cos²θ, and tan²θ at a given angle.

Product Rule Calculator

Apply the product rule to u=ax+b and v=cx+d, or to power functions u=xᵐ, v=xⁿ.

Product Sum Calculator

Find integer factor pairs of a product that add to a given sum.

Radical Equation Calculator

Solve radical equations of the form √(ax + b) = c and check extraneous roots.

Radius of a Circle Calculator

Find a circle’s radius from circumference, area, or diameter.

Radius of Convergence Calculator

Find the radius of convergence for geometric series c·rⁿ or via the ratio |aₙ₊₁/aₙ|.

Random Number Generator

Generate random numbers within a chosen range.

Ratio Calculator

Simplify and compare ratios.

Rational Expressions Calculator

Multiply or divide simple rational numbers a/b and c/d.

Rational Zeros Calculator

List possible rational zeros using the rational root theorem.

Rationalize the Denominator Calculator

Rationalize denominators of the form a/√b or a/(c + √d).

Reciprocal Calculator

Find the reciprocal 1/x of a nonzero number.

Rectangular Prism Volume Calculator

Calculate the volume of a rectangular prism (box) from length, width, and height.

Reference Angle Calculator

Find the acute reference angle for any angle in degrees or radians.

Riemann Sum Calculator

Approximate ∫_a^b f(x) dx with left, right, or midpoint Riemann sums for f(x)=x² or a constant.

SAS Triangle Calculator

Solve SAS: two sides and the included angle to find the third side and area.

Secant Calculator

Calculate the secant of an angle: sec θ = 1 / cos θ.

Second Derivative Calculator

Find the second derivative of a quadratic or cubic polynomial, with optional evaluation at x₀.

Shell Method Calculator

Compute V = 2π∫_a^b x f(x) dx for constant or linear height f on [a, b].

Similar Triangles Calculator

Find a missing corresponding side using a scale factor or a proportion of similar triangles.

Simplify Radicals Calculator

Simplify square roots by extracting perfect-square factors.

Simpson's Rule Calculator

Approximate integrals with Simpson's 1/3 rule for f(x)=x² or equally spaced y-values (even n).

Simultaneous Equations Calculator

Solve 2×2 or 3×3 linear systems of simultaneous equations.

Slope Percentage Calculator

Convert rise over run into a percent slope (grade).

Slope-Intercept Form Calculator

Find y = mx + b from slope and a point or from slope and intercept.

SOHCAHTOA Calculator

Given any two of opposite, adjacent, and hypotenuse, find the rest plus acute angles.

Solve for X Calculator

Solve linear equations of the form ax + b = c.

Square Root Calculator

Calculate square roots and radicals.

Square Root Curve Calculator

Map x-values through y = a√(x − h) + k style square-root transforms.

Standard Form to Slope-Intercept Calculator

Convert a linear equation from standard form Ax + By = C into slope-intercept form.

Substitution Calculator

Substitute numeric values into the linear expression ax + by.

Surface Area Calculator

Calculate total surface area for cube, sphere, cylinder, or rectangular prism.

Synthetic Division Calculator

Divide a polynomial by (x − r) using synthetic division.

Tangent Calculator

Calculate the tangent of an angle in degrees or radians.

Tangent Line Calculator

Find the tangent line to y = ax² + bx + c at a chosen x-value.

Tangent Plane Calculator

Find the tangent plane z = z₀ + fₓ(x−x₀) + fᵧ(y−y₀) for f = ax²+by²+cxy.

Time to Decimal Calculator

Convert HH:MM:SS or hours:minutes clock time into decimal hours.

Trapezoidal Rule Calculator

Approximate a definite integral with the trapezoidal rule for f(x)=x² or custom y-values.

Triangle Calculator

Solve a triangle in SSS, SAS, or ASA mode for sides, angles, and area using the Law of Cosines.

Triangular Pyramid Volume Calculator

Calculate triangular pyramid (tetrahedron-style) volume from base area and height.

Triple Integral Calculator

Evaluate ∭ k dV over a rectangular box [a,b]×[c,d]×[e,f].

Truncated Pyramid Calculator

Calculate frustum-of-a-pyramid volume from height and the two base areas.

UF GPA Calculator

Estimate University of Florida style GPA on a standard 4.0 letter scale weighted by credits.

Unit Circle Calculator

Convert an angle on the unit circle into cos, sin, tan and (x, y) coordinates.

UT GPA Calculator

Estimate University of Texas style GPA on a 4.0 scale with plus/minus grade points.

Variation Calculator

Solve direct (y = kx) or inverse (y = k/x) variation for k or y.

Vertex Form Calculator

Convert ax² + bx + c into vertex form and report the vertex.

Washer Method Calculator

Compute V = π∫_a^b (R² − r²) dx for constant or linear outer/inner radii.

X and Y Intercepts Calculator

Find x- and y-intercepts from Ax + By = C or y = mx + b.

Zeros Calculator

Find the real or complex roots of a quadratic equation ax² + bx + c = 0.