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# How to find the number of diagonals of a polygon?

**The number of diagonals in the polygon :**

A Diagonal is a line segment that connects the opposite corners of a polygon through its vertex.

Number of Diagonals $= \frac{n(n-3)}{2}$, where n is the number of sides of the polygon.

**
For example: **

Calculate the number of diagonals of a pentagon.

Number of sides of pentagon $= 5$

So, Number of Diagonals $= \frac{n(n-3)}{2}$

$ = \frac{5(5 - 3)}{2}$

$ = \frac{5(2)}{2}$

$ = 5$.

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