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1996 AMC 12 Question 20

AMC12 · 1996 AMC 12

Question 20

In the $xy$-plane, what is the length of the shortest path from $(0,0)$ to $(12,16)$ that does not go inside the circle $(x-6)^2+(y-8)^2=25?$
  1. $10\sqrt3$
  2. $10\sqrt5$
  3. $10\sqrt3+\frac{5\pi}{3}$
  4. $\frac{40\sqrt3}{3}$
  5. $10+5\pi$