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AMC8 2027 - Self-practice Set 7 Question 6

AMC8 · AMC8 2027 - Self-practice Set 7

Question 6

Three arcs of radius $5$ enclose the region shown. Arcs $AB$ and $AD$ are quarter circles, and arc $BCD$ is a semicircle. Find the area enclosed by the three arcs.
Question illustration
  1. 10
  2. $10+5\pi$
  3. 50
  4. $50+5\pi$
  5. $25\pi$