Question

A circle has a sector with a area 3/2 pi and central angle of 60 degrees. What is the area of the circle?

Answer 1

The area of the circle is
`9\pi\ units^2`

Explanation:

we know that

The area of a complete circle subtends a central angle of 360 degrees

so

using proportion

`(3\pi/2)/(60^o)=(x)/(360^o)\\\\x=((3\pi)/(2))(360)/60\\\\x=9\pi\ units^2`