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2000 AMC 8 Question 19

AMC8 · 2000 AMC 8

Question 19

Three circular arcs of radius $5$ units bound the region shown. Arcs $AB$ and $AD$ are quarter-circles, and arc $BCD$ is a semicircle. What is the area, in square units, of the region?

Question illustration
  1. $25$
  2. $10+5\pi$
  3. $50$
  4. $50+5\pi$
  5. $25\pi$