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Problem
Solutions
The diagrams show squares placed inside two identical semicircles. In the lower diagram the two squares are identical.
What is the ratio of the areas of the two shaded regions?
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
.
You can find more short problems, arranged by curriculum topic, in our
short problems collection
.