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

`366.3 {cm}^(2)`

Step-by-step explanation

Area of a sector is given by:

`= ( \theta)/(360) * \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,

`= ( 105 \degree)/(360 \degree) * (3.14) ({20})^(2)`

We simplify to obtain;

`= 366.3 {cm}^(2)`

correct to the nearest tenth.