The formula to calculate the number of diagonals of a regular polygon is:
\[ N_{\text{Diagonals}} = \frac{N_S \cdot (N_S - 3)}{2} \]
Where:
The number of diagonals of a regular polygon is the total number of diagonals possessed by the given regular 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:
\[ N_{\text{Diagonals}} = \frac{8 \cdot (8 - 3)}{2} = 20 \]
The number of diagonals is 20.
| Number of Sides | Number of Diagonals |
|---|---|
| 3 | 0 |
| 4 | 2 |
| 5 | 5 |
| 6 | 9 |
| 7 | 14 |
| 8 | 20 |
| 9 | 27 |
| 10 | 35 |
| 11 | 44 |
| 12 | 54 |