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SMO 2025 Junior Round 1 Question 1

SMO · SMO 2025 Junior Round 1

Question 1

In the diagram below, two congruent semicircles with centres $O$ and $O'$ overlap as shown.

Question illustration

If the radius of each semicircle is 2 cm, what is the area of the shaded region in $cm^2$?
  1. $\frac{4\pi}{3}-\sqrt3$
  2. $\frac{2\pi}{3}+\sqrt3$
  3. $\frac{2\pi}{3}-\sqrt3$
  4. $\frac23\pi$
  5. $\frac{4\pi}{3}-2\sqrt3$