Geometría y Análisis Espacial
2D and 3D geometric solvers: regular polygons, conic sections, polyhedra, surfaces of revolution, and radical closed-form proofs.
Ellipse Area, Perimeter & Eccentricity Calculator
Calculate exact ellipse area, Ramanujan high-precision perimeter approximation, semi-axes, focal distance, and orbital eccentricity.
Trapezoid Area, Median & Perimeter Calculator
Calculate trapezoid (trapezium) area, midline median, perimeter, and diagonal lengths from base lengths, height, and side legs.
Rhombus Area, Side & Diagonals Calculator
Calculate rhombus area, perimeter, side length, incircle radius, and internal angles from intersecting diagonals d₁ and d₂.
Parallelogram Area & Diagonals Calculator
Calculate parallelogram area, perimeter, internal diagonals, and heights using base, side, and acute internal angle.
Kite Geometry & Area Calculator
Calculate kite area, perimeter, side pairs, and internal diagonal lengths from perpendicular diagonal axes.
Cylinder Volume & Surface Area Calculator
Calculate cylinder volume, lateral curved surface area, total surface area, and base perimeter from radius and height.
Right Circular Cone Volume & Slant Height Calculator
Calculate cone volume, slant height, lateral area, total surface area, and base cone angle from radius and vertical height.
Sphere Volume & Surface Area Calculator
Calculate exact sphere volume, surface area, radius, diameter, and circumscribed cylinder ratio using Archimedes' theorem.
Torus Volume & Surface Area (Donut) Calculator
Calculate donut torus volume and surface area using Pappus's Centroid Theorems from major radius R and minor radius r.
Triangular Prism Volume & Surface Area Calculator
Calculate triangular prism volume, lateral face area, base area, and total surface area from triangular base dimensions and prism length.
Square Pyramid Volume & Slant Height Calculator
Calculate square and rectangular pyramid volume, lateral slant height, lateral face area, and total surface area.
Frustum of a Cone (Truncated Cone) Calculator
Calculate volume, lateral surface area, slant height, and total surface area of a truncated cone (frustum) from base radii and height.
Frustum of a Pyramid (Truncated Pyramid) Calculator
Calculate volume, slant height, and surface area of a truncated square pyramid from top base a₁, bottom base a₂, and height.
Ellipsoid Volume & Surface Area Calculator
Calculate ellipsoid volume and surface area using the Knud Thomsen p-norm approximation formula from semi-axes a, b, and c.
Arc Length, Sector Area & Chord Calculator
Calculate circular arc length (s), sector area, segment area, and chord length from circle radius and central angle (degrees or radians).