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AMO 2027 Grades 10-12 SET 1 - Self-study Question 3

AMO · AMO 2027 Grades 10-12 SET 1 - Self-study

Question 3

In the adjoining figure, 4 semi-circles are constructed and the area of overlap between any 2 semi-circles is shaded purple. Find the area of the shaded region if the side of the square is 10.

Question illustration

Choose one option.
  1. $50\pi-50$
  2. $100-25\pi$
  3. $25\pi-50$
  4. $50\pi-100$
  5. $100\pi-100$