a circle has a sector with an area of 33\pi and central angle of (11)/(6)\pi radians. what is the area of the circle?
A circle has a sector with an area of 33\pi and central angle of (11)/(6)\pi radians. what is the area of the circle?
Note that (11/6) pi rads = 330° = 330/360 = 11/12 of the whole area of the circle
So....to find the whole area we have
33pi (12/11) =
(33/11) * 12 * pi =
3 * 12 pi =
36 pi