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1991 AMC 12 Question 22

AMC12 · 1991 AMC 12

Question 22

Two circles are externally tangent. Lines $PAB$ and $PA'B'$ are common tangents with $A$ and $A'$ on the smaller circle and $B$ and $B'$ on the larger circle. If $PA=AB=4,$ then the area of the smaller circle is

Question illustration
  1. $1.44\pi$
  2. $2\pi$
  3. $2.56\pi$
  4. $\sqrt8\pi$
  5. $4\pi$