Question

What is the area of the shaded sector?

Answer 1

C

Explanation:

The central angle is equal to the arc that subtends it, that is 54°

area of sector = area of circle × fraction of circle

A = πr² ×
`(54)/(360)`

= π × 10² ×
`(3)/(20)`

= 100π ×
`(3)/(20)` ( cancel 20 and 100 )

= 5π × 3

= 15π cm² → C