What is the area of the shaded sector?
![What is the area of the shaded sector class=](https://us-static.z-dn.net/files/d11/245130ef6dba41a70694fcc14f65fcc2.png)
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 × [tex]\frac{54}{360}[/tex]
= π × 10² × [tex]\frac{3}{20}[/tex]
= 100π × [tex]\frac{3}{20}[/tex] ( cancel 20 and 100 )
= 5π × 3
= 15π cm² → C