Question

Find the area of the sector if m∠ A = π 10 and the circle has a radius of 20 inches.

Answer 1

The answer is 20pi or c.

Answer 2

Area of the sector = 62.85 inches²

Explanation:

`\text{Given : }m\angle A = (\pi)/(10)\text{ , Radius = 20 inches.}`

To find : Area of the sector

Solution :

`m\angle A = (\pi)/(10)\\\\\implies m\angle A=(180)/(10)=18`

Area of sector can be found by using the formula :

`\text{Area of sector = }(\theta)/(360)* \pi* Radius^2 \\\\\implies Area = (18)/(360)* (22)/(7)* 20^2\\\\\implies Area=(22)/(7)* 20\\\\\implies Area= 62.85\text{ square inches}`

Hence, Area of the sector = 62.85 inches²