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

Answer:

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

Step-by-step explanation:

we know that

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

so

using proportion

$\frac{3\pi/2}{60^o}=\frac{x}{360^o}\\\\x=(\frac{3\pi}{2})(360)/60\\\\x=9\pi\ units^2$