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A sector of a circle has a central angle of 100 degrees. If the area of the sector is 250pi, what is the radius of the circle?

 Jan 25, 2020
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A sector of a circle has a central angle of 100 degrees. If the area of the sector is 250pi, what is the radius of the circle?

 

Sector area:      A = 250pi                  100° : 250pi = 360° : X         X = 900pi

Sector angle:    q = 100°

Circle radius:     r = ?                            r = sqrt (900)       r = 30  

                                                           

                                                            ( A = r²pi        A = 30²pi = 900pi )  indecision

 Jan 25, 2020
edited by Dragan  Jan 25, 2020

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