Triangle Calculator
Solve a triangle from any valid combination of sides and angles — SSS, SAS, ASA, AAS, or SSA.
Everyday arithmetic, algebra, and geometry — worked out clearly.
Percentages, fractions, ratios, geometry, and the little calculations that come up all the time — with formulas you can reuse anywhere.
Solve a triangle from any valid combination of sides and angles — SSS, SAS, ASA, AAS, or SSA.
Volume, lateral surface area, and total surface area of a right circular cylinder from radius and height.
Compute the volume, surface area, face diagonal, and space diagonal of a cube from its edge length.
Compute the magnitude (length) of a 3D vector and its unit vector from the three components.
Compute the volume and total surface area of a rectangular prism (box) from its length, width, and height.
Compute the dot product of two 3D vectors and the angle between them.
Volume and surface area of a sphere from radius or diameter.
Compute the perimeter, apothem, and area of a regular polygon from its number of sides and side length.
Compute the entries of a 2-dimensional rotation matrix R(θ) = [[cos θ, −sin θ], [sin θ, cos θ]] and the result of rotati...
Compute the apothem (perpendicular distance from the centre to the midpoint of a side) of a regular n-sided polygon with...
Compute the interior angle of a regular n-gon and the sum of all interior angles: each = (n − 2) · 180 / n; sum = (n − 2...
Compute the L¹ (Manhattan / taxicab) distance between two points in 3-D space: d = Σ |coord₂ − coord₁|. The distance you...
Compute the exterior angle of a regular n-gon (sum is always 360°): each = 360 / n. Reports the corresponding interior a...
Compute the lateral (curved) surface area, base area, and total surface area of a right circular cone given its base rad...
Compute the equation of the plane passing through three 3-D points P, Q, R. The normal vector is the cross product (Q −...
Convert a 3-D point from cylindrical coordinates (r, θ, z) to Cartesian (x, y, z): x = r·cos θ, y = r·sin θ, z = z. Usef...
Compute the area of an annulus (the region between two concentric circles) from the outer and inner radii: A = π · (R² −...
Compute the volume, surface area, and inradius of a regular tetrahedron with side length a: V = a³ / (6√2); A = √3 · a²;...
Compute the volume of an ellipsoid (a 3-D generalization of an ellipse) from its three semi-axis lengths a, b, c: V = (4...
Convert 2-D Cartesian (rectangular) coordinates (x, y) to polar coordinates (r, θ): r = √(x² + y²), θ = atan2(y, x) in r...
Compute the circumcircle of a triangle given the (x, y) coordinates of its three vertices. Reports the side lengths a, b...
Compute the area of a circular segment (the region between a chord and an arc) from the circle radius and the central an...
Compute the perpendicular distance from a 3-D point (x₀, y₀, z₀) to the plane a·x + b·y + c·z + d = 0, using d_pt = |a·x...
Compute the perpendicular distance from a 2-D point (x₀, y₀) to the line a·x + b·y + c = 0, using d = |a·x₀ + b·y₀ + c|...