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 Lateral Surface Area of Icosahedron given Circumsphere Radius?
Lateral Surface Area of Icosahedron given Circumsphere Radius calculator uses Lateral Surface Area of Icosahedron = 9*sqrt(3)/2*((4*Circumsphere Radius of Icosahedron)/(sqrt(10+(2*sqrt(5)))))^2 to calculate the Lateral Surface Area of Icosahedron, The Lateral Surface Area of Icosahedron given Circumsphere Radius formula is defined as the quantity of plane enclosed by all the lateral surfaces (that is, top and bottom faces are excluded) of the Icosahedron and is calculated using the circumsphere radius of the Icosahedron. Lateral Surface Area of Icosahedron is denoted by LSA symbol.
How to calculate Lateral Surface Area of Icosahedron given Circumsphere Radius using this online calculator? To use this online calculator for Lateral Surface Area of Icosahedron given Circumsphere Radius, enter Circumsphere Radius of Icosahedron (r_{c}) and hit the calculate button. Here is how the Lateral Surface Area of Icosahedron given Circumsphere Radius calculation can be explained with given input values -> 697.9841 = 9*sqrt(3)/2*((4*9)/(sqrt(10+(2*sqrt(5)))))^2.