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Found problems: 1

2004 AIME Problems, 4
Tags: ind 21 , virat kohli , pythagorean theorem , geometry , analytic geometry
A square has sides of length $2$. Set $S$ is the set of all line segments that have length $2$ and whose endpoints are on adjacent sides of the square. The midpoints of the line segments in set $S$ enclose a region whose area to the nearest hundredth is $k$. Find $100k$.