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The logo for a new company is a circle divided into 21 equally sized sectors. Three of the sectors are white, and the others are different colors. The area of one of the white sectors is 13π/54 inches squared. What is the radius of the circle? Enter your answer rounded to the nearest hundredth.

 Apr 9, 2020
 #1
avatar+111329 
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One  of  the white  sectors  must  comprise  1/21  of the area of the  circle

 

So

 

13pi/54 =  pi * r^2   / 21       multiply both sides by  21    and divide out pi

 

(21 * 13)  / 54  = r^2

 

91/18 = r^2       take  the positive root

 

√ [ 91 / 18 ]   ≈   2.25  in  =   r

 

 

cool cool cool

 Apr 9, 2020

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