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Weekly Problem 42 - 2006

Stage: 3 Challenge Level: Challenge Level:2 Challenge Level:2

$AB$ is a diameter of a circle of radius 1 cm. Two circular arcs of equal radius are drawn with centres $A$ and $B$. These arcs meet on the circle, as shown. What is the shaded area? Circle
 
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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