A circle has a sector with are of (17/2)pi and a central angle of (17/90)pi radians. What is the area of the circle? Either enter an exact a

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A circle has a sector with are of (17/2)pi and a central angle of (17/90)pi radians. What is the area of the circle? Either enter an exact answer in terms of pi or use 3.14 pi and enter your answer as a decimal.

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    2021-09-08T22:28:03+00:00

    This circle has a sector area of 17pi/2 and a central angle of 17pi/90. 

    So, the whole angle of the circle would be 2pi. To find the area of a sector, you can use the formula A=R*Angle

    17pi/2= R* 17pi/90
    R=45

    A=45^2 * pi
    A=90 pi or  282.6

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