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2002 AMC 10B Question 5

AMC10 · 2002 AMC 10B

Question 5

Circles of radius $2$ and $3$ are externally tangent and are circumscribed by a third circle, as shown in the figure. What is the area of the shaded region?

Question illustration
  1. $3\pi$
  2. $4\pi$
  3. $6\pi$
  4. $9\pi$
  5. $12\pi$