2021 Fall AMC 10A Problems/Problem 19
. A disk of radius
rolls all the way around in the inside of a square of side length
and sweeps out a region of area
. A second disk of radius
rolls all the way around the outside of the same square and sweeps out a region of area
. The value of
can be written as
, where
and
are positive integers and
and
are relatively prime. What is