Copyright © University of Cambridge. All rights reserved.

See all short problems arranged by curriculum topic in the short problems collection

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

Find, in terms of $\pi$, the total perimeter of the two shaded shapes.

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.*