A circle has a sector with area 20 pi and central angle 2/5 pi radians. What is the area of the circle?

Question

I guess it would be easier to multiple by 3.14 instead of the pi itself.

"Either enter an exact answer in terms of πpi or use 3.143, point, 14 for πpi and enter your answer as a decimal."

Answer 1

The angle of the sector is 2(180)/5 = 72° (I think it is easier to work with degrees, optional if you like radians)

Since there are 360° degrees in the whole circle, there are 360/72 = 5 sectors

If one sector is 20π

5(20π) = 100π units²