Question

How many diagonals does a hexagon have?

• A. $9$
• B. $8$
• C. $2$
• D. $6$

Answer 1

The correct option is A

$9$

Explanation for correct option

As we know that the number of diagonals in a polygon of $\mathrm{n}$ sides are $\frac{\mathrm{n}\left(\mathrm{n}-3\right)}{2}$

A hexagon has $6$ sides.

So , substitute $\mathrm{n}=6$ in $\frac{\mathrm{n}\left(\mathrm{n}-3\right)}{2}$

$\Rightarrow$$\frac{6\left(6-3\right)}{2}$

$=$$\frac{6\left(3\right)}{2}$

$=$$3\left(3\right)$

$=$$9$

Thus, a hexagon have $9$ diagonals.

Hence, the correct option is option(A) i.e. $9$