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Salt's Mill

Stage: 3 and 4 Short Challenge Level: Challenge Level:1

A window frame in Salt's Mill consists of two equal semicircles and a circle inside a large semicircle with each touching the other three as shown. The width of the frame is $4$m.

What is the radius of the circle, in metres?

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

This problem is taken from the UKMT Mathematical Challenges.
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