The formula to calculate the Circumsphere Radius of Octahedron is:
\[ r_c = \frac{l_e}{\sqrt{2}} \]
The Circumsphere Radius of an Octahedron is the radius of the sphere that contains the Octahedron in such a way that all the vertices are lying on the sphere. The Edge Length of an Octahedron is the length of any of the edges of the Octahedron or the distance between any pair of adjacent vertices of the Octahedron.
Let's assume the following values:
Using the formula:
\[ r_c = \frac{10}{\sqrt{2}} = 7.07106781186547 \]
The Circumsphere Radius of the Octahedron is 7.07106781186547 meters.
| Edge Length (meters) | Circumsphere Radius (meters) |
|---|---|
| 9 | 6.363961030678928 |
| 9.5 | 6.717514421272201 |
| 10 | 7.071067811865475 |
| 10.5 | 7.424621202458749 |
| 11 | 7.778174593052023 |