Tick (✓) the correct answer:

Question:

Tick (✓) the correct answer:

How many diagonals are there in a hexagon?

(a) 6

(b) 8

(c) 9

(d) 10

Solution:

(c) 9

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

For a hexagon:

$n=6$

$\therefore \frac{n(n-3)}{2}=\frac{6(6-3)}{2}$

$=\frac{18}{2}=9$

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