Day 50

The four sides of a square are used as diameters to define four overlapping, congruent circles. Then, a larger circle is drawn so that it passes through all four corners of the square. The length of the square's diagonal is 5.

**What is the total area of the regions shaded purple?**

Hint: In one approach to solving this puzzle, you start by finding the length of one side of the square.

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