What is a Truncated Dodecahedron?
In geometry, the Truncated Dodecahedron is an Archimedean solid. It has a total of 32 faces - 12 regular decagonal faces, 20 regular triangular faces, 60 vertices and 90 edges. Each vertex is identical in such a way that two decagonal faces and one triangular face join at each vertex. This polyhedron can be formed from a dodecahedron by truncating (cutting off) the corners so the pentagon faces become decagons and the corners become triangles. The Truncated Dodecahedron has five special orthogonal projections, centered, on a vertex, on two types of edges, and two types of faces: hexagonal and pentagonal.
How to Calculate Circumsphere Radius of Truncated Dodecahedron given Total Surface Area?
Circumsphere Radius of Truncated Dodecahedron given Total Surface Area calculator uses Circumsphere Radius of Truncated Dodecahedron = sqrt(74+(30*sqrt(5)))/4*sqrt(Total Surface Area of Truncated Dodecahedron/(5*(sqrt(3)+(6*(sqrt(5+(2*sqrt(5)))))))) to calculate the Circumsphere Radius of Truncated Dodecahedron, Circumsphere Radius of Truncated Dodecahedron given Total Surface Area formula is defined as the radius of the sphere that contains the Truncated Dodecahedron in such a way that all the vertices are lying on the sphere, and calculated using the total surface area of the Truncated Dodecahedron. Circumsphere Radius of Truncated Dodecahedron is denoted by rc symbol.
How to calculate Circumsphere Radius of Truncated Dodecahedron given Total Surface Area using this online calculator? To use this online calculator for Circumsphere Radius of Truncated Dodecahedron given Total Surface Area, enter Total Surface Area of Truncated Dodecahedron (TSA) and hit the calculate button. Here is how the Circumsphere Radius of Truncated Dodecahedron given Total Surface Area calculation can be explained with given input values -> 29.54847 = sqrt(74+(30*sqrt(5)))/4*sqrt(10000/(5*(sqrt(3)+(6*(sqrt(5+(2*sqrt(5)))))))).