The formula to calculate the Circumsphere Radius of Tetrahedron is:
\[ r_c = \frac{1}{2} \sqrt{\frac{3}{2}} \cdot l_e \]
The Circumsphere Radius of a Tetrahedron is the radius of the sphere that contains the Tetrahedron in such a way that all the vertices are lying on the sphere. The Edge Length of a Tetrahedron is the length of any of the edges of the Tetrahedron or the distance between any pair of adjacent vertices of the Tetrahedron.
Let's assume the following values:
Using the formula:
\[ r_c = \frac{1}{2} \sqrt{\frac{3}{2}} \cdot 10 = 6.12372435695795 \]
The Circumsphere Radius of the Tetrahedron is 6.12372435695795 meters.
| Edge Length (meters) | Circumsphere Radius (meters) |
|---|---|
| 8 | 4.898979485566356 |
| 8.5 | 5.205165703414253 |
| 9 | 5.511351921262150 |
| 9.5 | 5.817538139110048 |
| 10 | 6.123724356957945 |
| 10.5 | 6.429910574805842 |
| 11 | 6.736096792653739 |
| 11.5 | 7.042283010501636 |
| 12 | 7.348469228349534 |