Use this number of diagonals of a polygon calculator to calculate polygon diagonals easily by entering the number of sides. Learn the polygon diagonals formula for quick computation.
n = number of sides
Multiply n by (n-3) and divide by 2 to get the number of diagonals.
| n | Number of Diagonals |
|---|---|
| 3 | 0 |
| 4 | 2 |
| 5 | 5 |
| 6 | 9 |
| 8 | 20 |
1. Count the number of sides (n).
2. Subtract 3 from n.
3. Multiply the result by n.
4. Divide by 2 to get the number of diagonals.
This number of diagonals of a polygon calculator automatically computes the result using the correct polygon diagonals formula with up to six decimal places.
• Triangles have no diagonals.
• Quadrilaterals have 2 diagonals.
• As the number of sides increases, diagonals increase rapidly.
• Diagonals help in geometric constructions and tessellations.
• Regular polygons have symmetrical diagonals.