A circle has a radius of 8 inches. Find the area of a sector of the circle if the sector has an arc that measures 45°.

Question

 A circle has a radius of 8 inches. Find the area of a sector of the circle if the sector has an arc that measures 45°.



2 sq. in.

8 sq. in.

16 sq. in.

Answer 1

A = πr²

A = 64π

 

The area of the sector is 45/360 of the whole circle.

 

S = 45/360(64π)

S = 1/8(64π)

S = 64π/8

S = 8π