Suppose you are six feet tall and walk around
the Earth's equator.
How much farther does your head travel
than your feet?
Solution to the Problem:
The distance traveled by your feet is
C = 2 pi R, where pi = 3.14 and R is the radius
of the Earth.
The distance traveled by your head is
C' = 2 pi (R + 6) or 2 pi R + 12 pi.
Subtracting C' - C, your head goes 12 pi ft
farther than your feet (or approximately 37.7 ft)!
Note: The radius of the circular object is
not relevant.