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A fountain is made up of two semicircles and a quarter circle. The diameter of the semicircles is 20ft. Find the perimeter of the fountain. Round your answer to the nearest tenth. 

Guest Mar 7, 2017
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How do I find the perimeter C of this fountain?..

A fountain is made up of two semicircles and a quarter circle.

The diameter of the semicircles is d = 20ft. Find the perimeter of the fountain. Round your answer to the nearest tenth.

 

\(\large C=\frac{2d\pi}{4}+2\times\frac{d\pi}{2}=\frac{d\pi}{2}+d\pi\) 

 

Quarter circle + two times semicircle

 

\(\large C=20ft\times\frac{\pi}{2}+20ft\times \pi=20ft\times\frac{3\pi}{2}\)

 

\(\large C=94.248ft\)

 

laugh  !

asinus  Mar 7, 2017
edited by asinus  Mar 7, 2017

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