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2014 AMC 12A Question 12

AMC12 · 2014 AMC 12A

Question 12

Two circles intersect at points $A$ and $B.$ The minor arcs $AB$ measure $30^\circ$ on one circle and $60^\circ$ on the other circle. What is the ratio of the area of the larger circle to the area of the smaller circle?
  1. $2$
  2. $1+\sqrt3$
  3. $3$
  4. $2+\sqrt3$
  5. $4$