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SMO 2007 Junior Round 1 Question 18

SMO · SMO 2007 Junior Round 1

Question 18

The diagram shows two identical squares, $ABCD$ and $PQRS$, overlapping each other in such a way that their edges are parallel, and a circle of radius $(2-\sqrt2)$ cm covered within these squares. Find the length of the square $ABCD$.

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