Question

How many diagonals does each of the following have?

ii. A regular hexagon

Answer 1

To find: The number of diagonals in a regular hexagon

Number of diagonals in a n-sided convex polygon $=\frac{n(n-3)}{2}$

So, number of diagonals in a regular hexagon$=\frac{6(6-3)}{2}$

$=\frac{18}{2}$

$=9$

Hence, a regular hexagon has $9$ diagonals.