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The shaded region is bounded by eight equal circles. The centres of the circles are at the corners and midpoints of the sides of a square.
The perimeter of the square is 8cm. What is 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.
You can find more short problems, arranged by curriculum topic, in our short problems collection.