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# geometry help

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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?

Guest Apr 13, 2018
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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

CPhill  Apr 13, 2018