Question 121625
Remember the circumference of a circle is {{{C=pi*d}}} where d is the diameter of the circle



So let d=diameter of the earth


This means the circumference of the earth is:



{{{C=pi*d}}}



Now since the person is 6 feet tall, this means we're going to add 6 to the diameter to get {{{d+6}}}



So the person's head traces out the circumference:


{{{C=pi*(d+6)}}}




Now subtract the second equation from the first equation to get



{{{pi*d-pi*(d+6)}}}




{{{pi*d-pi*d+6pi}}} Distribute




{{{cross(pi*d-pi*d)+6pi}}} Combine like terms




{{{6pi}}} Simplify



So using {{{pi=3.14}}} we get



{{{6(3.14)=18.84}}}




So the person's head traveled about 18.84 feet further than the person's feet.