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1976 AMC 12 Question 24

AMC12 · 1976 AMC 12

Question 24

In the adjoining figure, circle $K$ has diameter $AB;$ circle $L$ is tangent to circle $K$ and to $AB$ at the center of circle $K;$ and circle $M$ is tangent to circle $K,$ to circle $L$ and to $AB.$ The ratio of the area of circle $K$ to the area of circle $M$ is

Question illustration
  1. $12$
  2. $14$
  3. $16$
  4. $18$
  5. not an integer