What are Platonic Solids?
In three-dimensional space, a Platonic solid is a regular, convex polyhedron. It is constructed by congruent (identical in shape and size), regular (all angles equal and all sides equal), polygonal faces with the same number of faces meeting at each vertex. Five solids who meet this criteria are Tetrahedron {3,3} , Cube {4,3} , Octahedron {3,4} , Dodecahedron {5,3} , Icosahedron {3,5} ; where in {p, q}, p represents the number of edges in a face and q represents the number of edges meeting at a vertex; {p, q} is the Schläfli symbol.
How to Calculate Face Area of Icosahedron given Insphere Radius?
Face Area of Icosahedron given Insphere Radius calculator uses Face Area of Icosahedron = sqrt(3)/4*((12*Insphere Radius of Icosahedron)/(sqrt(3)*(3+sqrt(5))))^2 to calculate the Face Area of Icosahedron, The Face Area of Icosahedron given Insphere Radius formula is defined as the amount of space occupied on any one of the twelve triangular faces of an Icosahedron and is calculated using the insphere radius of the Icosahedron. Face Area of Icosahedron is denoted by A_{Face} symbol.
How to calculate Face Area of Icosahedron given Insphere Radius using this online calculator? To use this online calculator for Face Area of Icosahedron given Insphere Radius, enter Insphere Radius of Icosahedron (r_{i}) and hit the calculate button. Here is how the Face Area of Icosahedron given Insphere Radius calculation can be explained with given input values -> 37.14731 = sqrt(3)/4*((12*7)/(sqrt(3)*(3+sqrt(5))))^2.