The formula to calculate the Circumsphere Radius of Dodecahedron is:
\[ rc = \frac{\sqrt{3} \cdot (1 + \sqrt{5}) \cdot le}{4} \]
Circumsphere Radius of Dodecahedron is the radius of the sphere that contains the Dodecahedron in such a way that all the vertices are lying on the sphere. Edge Length of Dodecahedron is the length of any of the edges of a Dodecahedron or the distance between any pair of adjacent vertices of the Dodecahedron.
Let's assume the following values:
Using the formula:
\[ rc = \frac{\sqrt{3} \cdot (1 + \sqrt{5}) \cdot 10}{4} = 14.0125853844407 \]
The Circumsphere Radius is 14.0125853844407 Meters.
| Edge Length (Meters) | Circumsphere Radius (Meters) |
|---|---|
| 9 | 12.611326845996661 |
| 9.5 | 13.311956115218697 |
| 10 | 14.012585384440735 |
| 10.5 | 14.713214653662771 |
| 11 | 15.413843922884809 |