Question

What is the approximate area of the shaded sector in the circle shown below? A. 150.8 cm2

B. 6.28 cm2
C. 37.7 cm2
D. 3.14 cm2

Answer 1

C

Explanation:

The area (A) of the sector is calculated as

A = area of circle × fraction of circle

(central angle is equal to the measure of the arc, that is 30° )

A = πr² ×
`(30)/(360)`

= π × 12² ×
`(1)/(12)`

= 144π ÷ 12

= 12π

≈ 37.7 cm² ( to the nearest tenth )