2004 AIME I Problems/Problem 4

Revision as of 17:12, 4 November 2006 by Lotrgreengrapes7926 (talk | contribs) (Problem)

Problem

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 $100k.$

Solution

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