Question

Given that a pizza has a radius of 6 inches and has 6 slices, what is the perimeter of one of the slices of pizza?

• A. $(\pi +6)\mathrm{inches}$
• B. $2(\pi +6)\mathrm{inches}$
• C. $2(\pi +8)\mathrm{inches}$
• D. $(\pi +8)\mathrm{inches}$

Answer 1

The correct option is B $2(\pi +6)\mathrm{inches}$

Angle subtended by each slice at the centre $=\frac{{360}^{\circ }}{6}={60}^{\circ }$
$\text{Perimeter}=\frac{{60}^{\circ }}{{360}^{\circ }}\times 2\times \pi \times 6+2\times 6$

$\Rightarrow \text{Perimeter}=2\times \pi +2\times 6$
$\Rightarrow \text{Perimeter}=2(\pi +6)$