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2008 AMC 12B Question 9

AMC12 · 2008 AMC 12B

Question 9

Points $A$ and $B$ are on a circle of radius $5$ and $AB = 6.$ Point $C$ is the midpoint of the minor arc $AB.$ What is the length of the line segment $AC?$
  1. $\sqrt{10}$
  2. $\dfrac{7}{2}$
  3. $\sqrt{14}$
  4. $\sqrt{15}$
  5. $4$