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2012 AMC 10B Question 16

AMC10 · 2012 AMC 10B

Question 16

Three circles with radius $2$ are mutually tangent. What is the total area of the circles and the region bounded by them, as shown in the figure?

Question illustration
  1. $ 10\pi+4\sqrt{3} $
  2. $ 13\pi-\sqrt{3} $
  3. $ 12\pi+\sqrt{3} $
  4. $ 10\pi+9 $
  5. $ 13\pi$