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The semicircle below has a diameter of 20. Find the area of the blue region.

 

PICTURE OF DIAGRAM: https://latex.artofproblemsolving.com/7/1/a/71ae2177f4006b219d91ff9de0939073a0a0b766.png

 Apr 10, 2020
 #1
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The blue area  =   area of  semi-circle - area  of right triangle

 

Area  of semi-circle  = (1/2) pi (radius)^2  =  (1/2) pi (10)^2  = 50 pi

 

Area  of  right triangle  = (1/2) (product of the legs)  = (1/2) (12 * 16) = 96

 

Blue Region  =   50pi - 96  ≈  61.08

 

 

cool cool cool

 Apr 10, 2020

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