The formula to calculate the Perimeter of a Regular Polygon is:
\[ P = 2 \cdot r_c \cdot N_S \cdot \sin\left(\frac{\pi}{N_S}\right) \]
The perimeter of a regular polygon is the total distance around the edge of the polygon. The circumradius is the radius of a circumcircle touching each of the polygon's vertices. The number of sides denotes the total number of sides of the polygon, which is used to classify the types of polygons.
Let's assume the following values:
Using the formula:
\[ P = 2 \cdot 13 \cdot 8 \cdot \sin\left(\frac{\pi}{8}\right) \approx 79.5982 \]
The Perimeter is approximately 79.5982 Meters.
| Circumradius (Meters) | Number of Sides | Perimeter (Meters) |
|---|---|---|
| 12.5 | 8 | 76.536686473017951 |
| 13 | 8 | 79.598153931938668 |
| 13.5 | 8 | 82.659621390859400 |