Challenge Level

A square with perimeter 20 cm has a semicircle drawn onto each of its sides, as shown below.

What is the perimeter of the new shape? Give your answer in terms of $\pi$.

*This problem is adapted from the World Mathematics Championships*

What is the perimeter of the new shape? Give your answer in terms of $\pi$.

You can find more short problems, arranged by curriculum topic, in our short problems collection.