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In the diagram, d_1 = 24 and d_2 = 18.  What is the perimeter of the shaded region?

 

 May 11, 2020
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The shaded region has three half-circles for its perimeter.

 

Diameter of the circle  =  24 + 18  =  42

 

C =  pi · diameter.

 

Total perimeter  =  ½·pi·24  +  ½·pi·18  +  ½·pi·42  =  12·pi + 9·pi + 21·pi  =  42·pi

 

This is the circumference of the full circle.

 May 11, 2020

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