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Wood Pile Perimeter

Stage: 3 and 4 Short Challenge Level: Challenge Level:2 Challenge Level:2

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.
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