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 Tetrahedron given Circumsphere Radius?
Face Area of Tetrahedron given Circumsphere Radius calculator uses Face Area of Tetrahedron = (sqrt(3))/4*((2*sqrt(2)*Circumsphere Radius of Tetrahedron)/sqrt(3))^2 to calculate the Face Area of Tetrahedron, The Face Area of Tetrahedron given Circumsphere Radius formula is defined as the quantity of plane enclosed by any equilateral triangular face of the Tetrahedron, and calculated using the circumsphere radius of the Tetrahedron. Face Area of Tetrahedron is denoted by A_{Face} symbol.
How to calculate Face Area of Tetrahedron given Circumsphere Radius using this online calculator? To use this online calculator for Face Area of Tetrahedron given Circumsphere Radius, enter Circumsphere Radius of Tetrahedron (r_{c}) and hit the calculate button. Here is how the Face Area of Tetrahedron given Circumsphere Radius calculation can be explained with given input values -> 41.56922 = (sqrt(3))/4*((2*sqrt(2)*6)/sqrt(3))^2.