You may also like

problem icon

Rotating Triangle

What happens to the perimeter of triangle ABC as the two smaller circles change size and roll around inside the bigger circle?

problem icon

Intersecting Circles

Three circles have a maximum of six intersections with each other. What is the maximum number of intersections that a hundred circles could have?

problem icon

Square Pegs

Which is a better fit, a square peg in a round hole or a round peg in a square hole?

Weekly Problem 19 - 2006

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

Three semicircles enclosing an area

The diagram shows three semicircles, each of radius one. What is the size of the total area shaded?
 
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.

View the previous week's solution
View the current weekly problem