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A person six feet tall walks around the earth. Assuming the earth is a perfect sphere, how many feet farther does the top of this person's head travel than the bottoms of his feet? Express your answer in terms of \(\pi\).

 Aug 14, 2017
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A person six feet tall walks around the earth. Assuming the earth is a perfect sphere, how many feet farther does the top of this person's head travel than the bottoms of his feet? Express your answer in terms of \(\pi\).

 

\(C_{feet}=d\pi\)

\(C_{top} =(d+2\cdot\ 6\ feet)\cdot\pi=d\pi+12\ feet\cdot \pi\)

\(C_{top}-C_{feet}=d\pi+12\ feet\cdot \pi-d\pi\)

\(C_{top}-C_{feet}=12\ feet\cdot \pi\)

laugh  !

 Aug 14, 2017
edited by asinus  Aug 14, 2017

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