Question

What is the area of the shaded sector?

Answer 1

Answer:

C

Step-by-step 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 × $\frac{54}{360}$

   = π × 10² × $\frac{3}{20}$

   = 100π × $\frac{3}{20}$ ( cancel 20 and 100 )

   = 5π × 3

   = 15π cm² → C