Chapter 1.1, Problem 9E

The 2000 movie Cast Away stars Tom Hanks as the only human survivor of a plane crash, stranded on a tropical island. He approximates his distance from where the plane lost radio contact to be 400 miles (a radius), and uses the formula for the area of a circle,

$\text{Area}=\pi {\text{(radius)}}^{\text{2}}$

to determine that a search party would have to cover an area of over 500,000square miles to look for him and his “pal” Wilson.