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 Midsphere Radius of Tetrahedron given Face Area?
Midsphere Radius of Tetrahedron given Face Area calculator uses Midsphere Radius of Tetrahedron = sqrt((4*Face Area of Tetrahedron)/sqrt(3))/(2*sqrt(2)) to calculate the Midsphere Radius of Tetrahedron, The Midsphere Radius of Tetrahedron given Face Area formula is defined as the radius of the sphere for which all the edges of the Tetrahedron become a tangent line to that sphere, calculated using face area of Tetrahedron. Midsphere Radius of Tetrahedron is denoted by r_{m} symbol.
How to calculate Midsphere Radius of Tetrahedron given Face Area using this online calculator? To use this online calculator for Midsphere Radius of Tetrahedron given Face Area, enter Face Area of Tetrahedron (A_{Face}) and hit the calculate button. Here is how the Midsphere Radius of Tetrahedron given Face Area calculation can be explained with given input values -> 3.604217 = sqrt((4*45)/sqrt(3))/(2*sqrt(2)).