3D Distance Calculator - Calculate the Euclidean distance between two points in three-dimensional space. Enter coordinates (x₁, y₁, z₁) and (x₂, y₂, z₂) to get the distance, midpoint, displacement vector, and direction angles with step-by-step formulas and an interactive 3D diagram. New
Angle Bisector Calculator - Calculate the angle bisectors of a triangle. Enter three sides or three vertex coordinates to find bisector lengths, division points on opposite sides, incenter, inradius, and see an interactive diagram with step-by-step formulas. New
Arc Length Calculator - Calculate arc length, radius, or central angle of a circle sector with interactive diagram, step-by-step solution, and support for degrees and radians.
Cartesian to Polar Coordinates Converter - Convert Cartesian coordinates (x, y) to polar coordinates (r, θ) with adjustable precision from 1 to 1000 decimal places. Features step-by-step solutions, interactive coordinate plane visualization, quadrant analysis, and verification.
Circle Calculator - Calculate radius, diameter, circumference, and area of a circle from any single value. Includes arc length, sector area, chord length, and segment area calculations with step-by-step solutions and interactive diagram.
Circumscribed Circle (Circumcircle) Calculator - Calculate the circumscribed circle (circumcircle) of a triangle. Enter three sides or three vertex coordinates to find the circumradius, circumcenter, area, angles, and see an interactive diagram with step-by-step formulas. New
Cone Flat Pattern (Template) Generator - Generate the 2D flat pattern (developed surface) of a cone or truncated cone (frustum). Calculate the outer radius, inner radius, and sweep angle needed to cut the unrolled template from sheet metal, cardboard, or paper. Essential for DIY, manufacturing, HVAC ductwork, and paper crafting. New
Conic Section Identifier - Identify the conic section type (circle, ellipse, parabola, or hyperbola) from the general second-degree equation Ax² + Bxy + Cy² + Dx + Ey + F = 0. Get step-by-step classification, key properties, standard form, and an interactive graph. New
Coordinate Geometry Distance Calculator - Calculate the distance, midpoint, slope, line equation, perpendicular bisector, and angle of inclination between two points on a coordinate plane. Enter coordinates to get step-by-step solutions with an interactive diagram. New
Distance Between Two Points Calculator - Calculate the Euclidean distance between two points in a 2D coordinate plane with step-by-step formulas, interactive visualization, midpoint, slope, and line equation calculations.
Ellipse Circumference Calculator - Calculate the circumference (perimeter) of an ellipse using multiple approximation formulas including Ramanujan, exact series, and visualize results with an interactive SVG diagram.
Equation of a Line Calculator - Find the equation of a line from two points, a point and slope, or slope and y-intercept. Get slope-intercept, point-slope, and standard form with interactive graph, step-by-step solution, and line properties. New
Euler Characteristic Calculator - Calculate the Euler characteristic (χ = V − E + F) from vertices, edges, and faces. Identify topological structure, genus, and surface type with step-by-step solutions, interactive 3D visualization, and Platonic solid comparisons. New
Frustum Calculator - Calculate the volume, lateral surface area, total surface area, and slant height of a frustum (truncated cone). Enter the top radius, bottom radius, and height to get instant results with step-by-step formulas and an interactive 3D diagram. New
General Triangle Solver - The ultimate tool to solve any triangle. Input three known values (e.g., SSS, SAS, ASA, AAS) and automatically calculate all missing sides, angles, area, and perimeter using the law of sines, law of cosines, and Heron's formula.
Golden Rectangle Calculator - Calculate golden rectangle dimensions from any side length. Visualize the golden ratio (φ ≈ 1.618) with interactive diagrams showing interior and outer rectangles, plus step-by-step formulas.
Golden Section Calculator - Calculate the missing values to complete the golden section. Enter any value (a+b, a, or b) to find the golden ratio proportions with step-by-step explanation and visual diagram.
Great Circle Distance Calculator - Calculate the shortest distance between two points on a sphere using the Haversine formula. Enter latitude and longitude coordinates to get the great circle distance in kilometers, miles, and nautical miles, plus initial and final bearing, midpoint coordinates, and step-by-step formulas with an interactive globe diagram. New
Heron's Formula Calculator - Calculate the area of a triangle using Heron's formula from three side lengths. Get the semi-perimeter, area, perimeter, inradius, circumradius, all three altitudes, interior angles, and triangle type with step-by-step formulas and an interactive triangle diagram. New
Hyperbola Calculator - Calculate the center, vertices, foci, asymptotes, eccentricity, and equations of any hyperbola. Supports standard form and general form with interactive graph and step-by-step solutions. New
Hypotenuse Calculator - Calculate the hypotenuse of a right triangle using the Pythagorean theorem. Get instant results with visual diagrams, step-by-step solutions, angles, area, and perimeter. Featured
Inscribed Circle (Incircle) Calculator - Calculate the inscribed circle (incircle) of a triangle. Enter three sides or three vertex coordinates to find the inradius, incenter, tangent points, tangent lengths, contact triangle, and see an interactive diagram with step-by-step formulas. New
Irregular Polygon Area Calculator - Calculate the area of any irregular polygon by entering vertex coordinates or drawing on an interactive canvas. Uses the Shoelace formula with step-by-step calculation, perimeter, centroid, and a visual diagram. New
Midpoint Calculator - Calculate the midpoint between two points instantly with interactive visualization, step-by-step solution, distance calculation, and comprehensive geometry analysis.
Parabola Calculator - Find the vertex, focus, directrix, axis of symmetry, and latus rectum of any parabola. Supports standard form (y=ax²+bx+c), vertex form (y=a(x-h)²+k), and general conic form ((x-h)²=4p(y-k)). Includes interactive graph with step-by-step solutions. New
Parallel and Perpendicular Line Calculator - Find equations of parallel and perpendicular lines passing through a given point. Enter a line equation and a point to get both parallel and perpendicular line equations with interactive graph, step-by-step solution, and line properties. New
Parametric Curve Grapher - Graph parametric equations x(t) and y(t) online with interactive visualization. Features animated curve tracing, speed-based coloring, osculating circle display, tangent vectors, arc length computation, and famous curve presets including Lissajous, heart, rose, butterfly, and spirograph curves. New
Parametric Curve Grapher - Graph parametric equations x(t) and y(t) online with interactive visualization. Features animated curve tracing, speed-based coloring, osculating circle display, tangent vectors, arc length computation, and famous curve presets including Lissajous, heart, rose, butterfly, and spirograph curves. New
Point-Slope Form Calculator - Find the equation of a line using point-slope form. Enter a point and slope or two points to get point-slope, slope-intercept, and standard form equations with an interactive graph and step-by-step solution. New
Point to Plane Distance Calculator - Calculate the shortest perpendicular distance from a point (x₀, y₀, z₀) to a plane Ax + By + Cz + D = 0. Get step-by-step solution, foot of perpendicular, interactive 3D visualization, and geometric analysis. New
Polar to Cartesian Converter - Convert polar coordinates (r, θ) to Cartesian coordinates (x, y) with up to 1000 decimal places precision. Features interactive visualization, step-by-step solutions, quadrant detection, and verification.
Polygon Diagonals Calculator - Calculate the number of diagonals in an n-sided polygon, find the sum of interior angles, each interior angle of a regular polygon, and visualize the polygon with all its diagonals drawn. New
Pythagorean Theorem Calculator - Calculate the missing side of any right triangle using a² + b² = c². Get step-by-step solutions, interactive triangle visualization, area, perimeter, and angle calculations.
Rectangle Calculator - Calculate rectangle area, perimeter, diagonal, inscribed circle, circumscribed circle, and aspect ratio from any two known values. Includes interactive SVG diagram and step-by-step solutions.
Regular Polygon Calculator - Calculate the area, perimeter, apothem, circumradius, interior angles, exterior angles, and number of diagonals of any regular polygon. Enter the number of sides and side length to get instant results with step-by-step formulas and an interactive diagram. New
Shoelace Formula Calculator - Calculate the area of any polygon from its (x, y) vertex coordinates using the Shoelace (Gauss) algorithm. Supports triangles, quadrilaterals, and complex polygons. Ideal for surveying, GIS, land measurement, and geometry problems. New
Slope Calculator - Calculate slope, gradient, angle, and line equation from two coordinate points. Features interactive graph visualization, step-by-step solutions, and multiple output formats.
Slope Intercept Form Calculator - Calculate slope intercept form (y=mx+b) from two points, point and slope, or standard form. Get step-by-step solution with interactive graph visualization.
Sphere Equation Calculator - Find the standard and general equation of a sphere given center coordinates and radius, or two endpoints of a diameter. Includes step-by-step derivation, 3D visualization, and geometric properties. New
Square Calculator - Calculate all properties of a square instantly. Enter side length, area, perimeter, or diagonal to find all other measurements with step-by-step formulas and interactive visualization.
Tangent Line to Circle Calculator - Find the tangent line equations from an external point to a circle. Enter the circle equation and a point to get tangent lines, tangent length, contact points, tangent angle, and an interactive diagram with step-by-step solution. New
Torus Calculator - Calculate the volume, surface area, and geometric properties of a torus (donut shape). Enter the major radius (R) and minor radius (r) to get instant results with step-by-step formulas and an interactive 3D cross-section diagram. New
Triangle Centroid Calculator - Calculate the centroid (center of mass) of any triangle given its three vertex coordinates. Get step-by-step solution, triangle properties, and an interactive visual diagram with medians. New
Triangle Orthocenter Calculator - Calculate the orthocenter (intersection of the three altitudes) of any triangle given its three vertex coordinates. Get step-by-step solution, altitude equations, triangle classification, and an interactive visual diagram. New
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