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Consider square A B C D of side length 1...

Consider square `A B C D` of side length 1. Let `P` be the set of all segments of length 1 with endpoints on the adjacent sides of square `A B C D` . The midpoints of segments in `P` enclose a region with area `Adot` The value of `A` is (a) `pi/4` (b) `1-pi/4` (c) `4-pi/4` (d) none of these

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