Question

A circle has a radius of 2.5 centimeters and a central angle AOB that measures 90°. What is the area of sector AOB?

Answer 1

`4.909cm^2`

Explanation:

The fact that the central angle of the sector is 90° gives you what fraction the sector is of the circle.

`(90°)/(360°) = 1/4`

The sector area will be this same fraction of the area of the whole circle.

`A = pi r^2`

Sector area = `1/4 xx pi (2.5)^2 = 6.25/4 pi`

= `4.909cm^2`