2004 AIME I Problems/Problem 4
Problem
A square has sides of length 2. Set 
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 enclose a region whose area to the nearest hundredth is 
Find 
Solution
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The region is the inscribed circle of the square, so the area is 
, or to the nearest hundreth 
and so the answer is 314.
