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1998 AMC 12 Question 16

AMC12 · 1998 AMC 12

Question 16

The figure shown is the union of a circle and two semicircles of diameters $a$ and $b,$ all of whose centers are collinear. The ratio of the area of the shaded region to that of the unshaded region is

Question illustration
  1. $\sqrt{\frac ab}$
  2. $\frac ab$
  3. $\frac{a^2}{b^2}$
  4. $\frac{a+b}{2b}$
  5. $\frac{a^2+2ab}{b^2+2ab}$