The formula to calculate the Inradius of Regular Polygon is:
\[ r_{i} = \frac{l_{e}}{2 \cdot \tan\left(\frac{\pi}{NS}\right)} \]
Inradius of Regular Polygon is the line connecting the center of the polygon to the midpoint of one of the Regular Polygon's sides. The inradius is also the radius of the incircle. Edge Length of Regular Polygon is the length of one of the sides of the Regular Polygon. Number of Sides of Regular Polygon denotes the total number of sides of the Polygon. The number of sides is used to classify the types of polygons.
Let's assume the following values:
Using the formula:
\[ r_{i} = \frac{10}{2 \cdot \tan\left(\frac{\pi}{8}\right)} = 12.0710678118655 \]
The Inradius is 12.0710678118655 Meters.
| Number of Sides | Inradius (Meters) |
|---|---|
| 7 | 10.382606982861683 |
| 7.5 | 11.230183869521081 |
| 8 | 12.071067811865476 |
| 8.5 | 12.906487771004498 |
| 9 | 13.737387097273112 |