faces = First /@ First@Normal@PolyhedronData["Dodecahedron", "Faces"];
radius = InscribedRadius[Polygon[First[faces]]]
Im trying to run this short program but it doesnt work. Maybe Im doing something wrong.
The Polytopes package does not support general polygons, only the ones listed in
In this case, radius should be just
Out= 1/(2 Sqrt[5 - 2 Sqrt])