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 \(\pi\).

Guest Aug 14, 2017

#1**+1 **

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 \(\pi\).

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

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

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

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

!

asinus
Aug 14, 2017