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Circle A has its center at A(4,4) and has a radius of 4 units. Circle B has its center at (12,4) and has a radius of 4 units. What is the perimeter of the gray region bound by the circles and the x-axis? Express your answer in terms of pi.

 

 Jun 2, 2021
 #1
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The  bottom part of  the shaded area   =  8

 

The length of  one  of the  curved  sides =   1/4  circumference of a  circle with a radius of 4  =

(2 pi * 4)  / 4   =  2pi

 

So.....the perimeter of  the  shaded  area  =   8  + 2 (2pi)   =  8 + 4pi    units

 

cool cool cool

 Jun 2, 2021

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