Question

A circle had a sector with area 33pi and central angle of 11/6pi radians

what is the area of the circle?

Answer 1

its just 36 pi

Explanation:

just did this one

Answer 2

The area of the circle is
`36\pi\ units^(2)`

Explanation:

we know that

The area of a circle subtends a central angle of
`2\pi` radians

so

By proportion find the area of the circle

`(33\pi )/((11\pi /6))=(x)/(2\pi)\\ \\ x=2\pi*( 33*6)/11\\ \\x=36\pi\ units^(2)`