How many diagonals are there in a hexagon? Sketch a figure and verify your answer.

Given: A hexagon.

To do: To find the number of diagonals in a hexagon and to verify by drawing an sketch.

Solution:

The number of diagonals in a polygon of $n-$sides$=\frac{n( n-3)}{2}$

In a hexagon, number of sides $n=6$

Therefore, number of diagponals in a hexagon $=\frac{6( 6-3)}{2}=9$

Thus, there are $9$ diagonals in a hexagon.

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Updated on: 10-Oct-2022

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