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

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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.

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