Question

A circle with area 100π has a sector with a central angle of 2/5π radians.

What is the area of the sector?

Answer 1

20π square units

Explanation:

The sector area is found using the proportion ...

sector area / circle area = sector angle / whole circle angle

Multiplying by "circle area", we get ...

sector area = (circle area)( sector angle / whole circle angle)

= (100π)(2/5π)/(2π)

= (100π)(1/5)

sector area = 20π