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2021 AMC 12C Question 11

AMC12 · 2021 AMC 12C

Question 11

Consider two concentric circles of radius $17$ and $19.$ The larger circle has a chord, half of which lies inside the smaller circle. What is the length of the chord in the larger circle?
  1. $12\sqrt{2}$
  2. $10\sqrt{3}$
  3. $\sqrt{17 \cdot 19}$
  4. $18$
  5. $8\sqrt{6}$