The number of diagonals in a nonagon is ___

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The number of diagonals in a nonagon is ____.

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Detailed Solution

The number of diagonals in a nonagon is 27.
For determining the number of diagonals in a polygon we will use formula:

n n − 3 2

where

n

= sides of polygon
We have

n = 9

,
Applying the formula:
The number of diagonals in a polygon:

= n n − 3 2 = 9 9 − 3 2 = 9 × 3 = 27

Hence, the correct answer is 27.

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