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in a​ circle, a 180° sector has area 72π in2.

What is the radius of the​ circle?

 

Solve...

 Mar 7, 2018
 #1
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Area of a sector   =   pi * radius^2  *  (central angle measure of the sector / 360) ....so we have..

 

72 pi  = pi (r^2)  (180/ 360)  divide out pi

 

72  = (1/2) r^2       multiply both sides by 2

 

144  = r^2       take the positive root

 

12 in  =   r

 

 

cool cool cool

 Mar 7, 2018

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