Question

A circle with a radius of 20 centimeters has a sector that has an arc measure of 105. What is the are of the sector? Round to the nearest tenth

Answer 1

ANSWER

$366.3 {cm}^{2}$

EXPLANATION

Area of a sector is given by:

$= \frac{ \theta}{360} \times \pi {r}^{2}$

The radius of the circle is 20cm, the arc measure of the sector is 105°

We substitute the values into the formula to obtain,

$= \frac{ 105 \degree}{360 \degree} \times (3.14) ({20})^{2}$

We simplify to obtain;

$= 366.3 {cm}^{2}$

correct to the nearest tenth.