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2010 AMC 8 Question 18

AMC8 · 2010 AMC 8

Question 18

A decorative window is made up of a rectangle with semicircles on either end. The ratio of $AD$ to $AB$ is $3:2,$ and $AB=30$ inches. What is the ratio of the area of the rectangle to the combined areas of the semicircles?

Question illustration
  1. $ \ 2:3 $
  2. $ \ 3:2 $
  3. $ \ 6:\pi $
  4. $ \ 9:\pi $
  5. $ \ 30 :\pi $