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Square Flower

Stage: 4 Short Challenge Level: Challenge Level:1

The shaded region is bounded by eight equal circles with centres at the corners and midpoints of the sides of a square.

The perimeter of the square has length $8$. What is the length of the perimeter of the shaded region?

If you liked this problem, here is an NRICH task that challenges you to use similar mathematical ideas.

This problem is taken from the UKMT Mathematical Challenges.
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