## 'Weekly Problem 30 - 2011' printed from http://nrich.maths.org/

The diagram shows three touching circles each of radius $5$cm and a line which touches two of them.

Find the total length of the perimeter of the two shaded shapes.

Leave $\pi$ in your answer.

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

This problem is taken from the UKMT Mathematical Challenges.

View the previous week's solution