The formula to calculate the Circumradius of a Regular Polygon given the Inradius is:
\[ r_c = \frac{r_i}{\cos\left(\frac{\pi}{N}\right)} \]
The Circumradius of a Regular Polygon is the radius of a circumcircle touching each of the polygon's vertices. The Inradius is the line connecting the center of the polygon to the midpoint of one of its sides, and the Number of Sides denotes the total number of sides of the polygon.
Let's assume the following values:
Using the formula:
\[ r_c = \frac{12}{\cos\left(\frac{\pi}{8}\right)} \approx 12.9887 \]
The Circumradius is approximately 12.9887 Meters.
| Inradius (Meters) | Number of Sides | Circumradius (Meters) |
|---|---|---|
| 11 | 8 | 11.906314203216334 |
| 11.5 | 8 | 12.447510303362531 |
| 12 | 8 | 12.988706403508727 |
| 12.5 | 8 | 13.529902503654926 |
| 13 | 8 | 14.071098603801122 |