WebAug 1, 2024 · Calculating the radius of the circumscribed sphere of an arbitrary tetrahedron, edge lengths given. Instead of tetrahedron, let us work out a general formula for n -simplex first. Given any non-degenerate n -simplex S with vertices v1, …, vn + 1. Let. ℓij = ‖vi − vj‖ be the edge lengths. Web半径 radius 直径 diameter 圆周率 pi 弧 arc 半圆 semicircle 扇形 sector ... 球 sphere 半球 hemisphere 底面 undersurface 表面积 surface area 体积 volume 空间 space 双曲线 hyperbola 抛物线 parabola 四面体 tetrahedron 五面体 pentahedron 六面体 hexahedron菱形 rhomb, rhombus, rhombi(pl.), diamond 正方形 ...

Insphere Radius of Tetrahedron Calculator

WebJan 12, 2008 · Given the lengths of the edges of a tetrahedron calculate the radius of a sphere inscribed in that tetrahedron (i.e. a sphere tangent to all the faces). Input An … Web14 The Inscribed Sphere of a Tetrahedron The inscribed sphere or insphere is the largest sphere that can be contained in the tetrahedron. The center of this sphere is called the incenter and the radius is the inradius. The insphere touches each face of the tetrahedron at a single point. These points of contact are actually marietta college football staff

Insphere -- from Wolfram MathWorld

WebThe radius of the sphere inscribed in a polyhedron P is called the inradius of P . Interpretations [ edit] All regular polyhedra have inscribed spheres, but most irregular … Webcombination of solid figures WebThe radius (r) of an inscribed sphere (aka insphere) of a regular tetrahedron with edge length = a, is given by: The edge length is not given but we do know the altitude or height (h) of the tetrahedron so we can compute the edge length as follows: marietta college grading scale