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The logo for a new company is a circle divided into 16 equally sized sectors. Four of the sectors are white, and the others are different colors.

The area of one of the white sectors is  3π/28 inches squared.

What is the radius of the circle? Enter your answer rounded to the nearest hundredth.

 May 1, 2020
 #1
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Note that the white sectors comprise 4/16  = 1/4  of the area of the  circle

 

So... 4 * ( 3pi/28  )  =  12pi/28  =  3pi/7  =  the area of the circle in square inches

 

Area =  pi * radius^2

 

So

 

3pi/7 = pi * radius^2            divide out  pi

 

3/7  = radius^2                 take the positive root

 

 √[ 3/7]  = radius ≈  0.65 in

 

 

 

cool cool cool     

 May 1, 2020

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