The formula to calculate the sum of interior angles of a regular polygon is:
\[ \text{Sum} \angle_{\text{Interior}} = (N_S - 2) \cdot \pi \]
Where:
The sum of interior angles of a regular polygon is the sum of all the interior angles of the polygon.
The number of sides of a 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:
\[ \text{Sum} \angle_{\text{Interior}} = (8 - 2) \cdot \pi = 18.8495559215388 \text{ radians} \]
The sum of interior angles is 18.8495559215388 radians.
| Number of Sides | Sum of Interior Angles (radians) |
|---|---|
| 3 | 3.1415926536 |
| 4 | 6.2831853072 |
| 5 | 9.4247779608 |
| 6 | 12.5663706144 |
| 7 | 15.7079632679 |
| 8 | 18.8495559215 |
| 9 | 21.9911485751 |
| 10 | 25.1327412287 |
| 11 | 28.2743338823 |
| 12 | 31.4159265359 |