Suppose you have a unit circle. You cut the circle into four equal parts. Where the radii of one of the four pieces exists (0,0) to (0,1) and (0,0) to (1,0). Putting one of the four pieces on each of the following coordinates, (0,0) , (0,1) , (1,1) , (1,0) and fitting them together so that the radii produce a square causes the interior to have overlapping arcs. There is a piece, in the innermost center, where all four arcs overlap. What is the area of the overlapped center?

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Suppose you have a unit circle. You cut the circle into four equal parts. Where the radii of one of the four pieces exists (0,0) to (0,1) and (0,0) to (1,0). Putting one of the four pieces on each of the following coordinates, (0,0) , (0,1) , (1,1) , (1,0) and fitting them together so that the radii produce a square causes the interior to have overlapping arcs. There is a piece, in the innermost center, where all four arcs overlap. What is the area of the overlapped center?

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