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1958 AMC 12 Question 21

AMC12 · 1958 AMC 12

Question 21

In the accompanying figure $\overline{CE}$ and $\overline{DE}$ are equal chords of a circle with center $O.$ Arc $AB$ is a quarter-circle. Then the ratio of the area of triangle $CED$ to the area of triangle $AOB$ is:

Question illustration
  1. $\sqrt2:1$
  2. $\sqrt3:1$
  3. $4:1$
  4. $3:1$
  5. $2:1$