Answer:
The area of the sector is [tex]20\pi\ units^2[/tex]
Step-by-step explanation:
The complete question is
A circle with area 100π has a sector with a central angle of 2/5π radians.
What is the area of the sector?
we know that
The area of circle subtends a central angle of 2π radians
so
using proportion
Find out the area of a sector with a central angle of 2/5π radians
[tex]\frac{100\pi}{2\pi}=\frac{x}{(2\pi/5)}\\\\x=50(\frac{2\pi}{5})\\\\x=20\pi\ units^2[/tex]
