What is a Disphenoid?
In geometry, a Disphenoid (from Greek sphenoeides, "wedgelike") is a tetrahedron whose four faces are congruent acute-angled triangles. It can also be described as a tetrahedron in which every two edges that are opposite each other have equal lengths. Other names for the same shape are sphenoid, bisphenoid, isosceles tetrahedron, equifacial tetrahedron, almost regular tetrahedron, and tetramonohedron. All the solid angles and vertex figures of a Disphenoid are the same, and the sum of the face angles at each vertex is equal to two right angles. However, a Disphenoid is not a regular polyhedron, because, in general, its faces are not regular polygons, and its edges have three different lengths.
How to Calculate Insphere Radius of Disphenoid?
Insphere Radius of Disphenoid calculator uses Insphere Radius of Disphenoid = 3/4*sqrt(((Side A of Disphenoid^2+Side B of Disphenoid^2-Side C of Disphenoid^2)*(Side A of Disphenoid^2-Side B of Disphenoid^2+Side C of Disphenoid^2)*(-Side A of Disphenoid^2+Side B of Disphenoid^2+Side C of Disphenoid^2))/72)/sqrt(Perimeter of Disphenoid/8*(Perimeter of Disphenoid/8-Side A of Disphenoid)*(Perimeter of Disphenoid/8-Side B of Disphenoid)*(Perimeter of Disphenoid/8-Side C of Disphenoid)) to calculate the Insphere Radius of Disphenoid, The Insphere Radius of Disphenoid formula is defined as the radius of the sphere that is contained by the Disphenoid in such a way that all the faces just touching the sphere. Insphere Radius of Disphenoid is denoted by r_{i} symbol.
How to calculate Insphere Radius of Disphenoid using this online calculator? To use this online calculator for Insphere Radius of Disphenoid, enter Side A of Disphenoid (S_{a}), Side B of Disphenoid (S_{b}), Side C of Disphenoid (S_{c}) & Perimeter of Disphenoid (P) and hit the calculate button. Here is how the Insphere Radius of Disphenoid calculation can be explained with given input values -> 2.540642 = 3/4*sqrt(((10^2+13^2-15^2)*(10^2-13^2+15^2)*(-10^2+13^2+15^2))/72)/sqrt(152/8*(152/8-10)*(152/8-13)*(152/8-15)).