Maths-

General

Easy

Question

# A regular polygon has 9 diagonals. Find the number of sides and classify it based on the number of sides.

Hint:

### A regular polygon is a polygon with congruent sides and equal angles and are symmetrically placed about a common center

## The correct answer is: 6

- We have been given in the question information about a regular polygon that has 9 diagonals which means it is a hexagon.
- We have to find the number of sides and classify it based on the number of sides.

Step 1 of 1:

We know that the number of diagonal in n - side polygon

Here, the number of diagonals is 9

So,

(n - 6) (n + 3) = 0

n = 6

The number of sides of the given polygon are 6

And it is Hexagon.

n = 6

The number of sides of the given polygon are 6

And it is Hexagon.

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