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2005 AMC 12B Question 14

AMC12 · 2005 AMC 12B

Question 14

A circle having center $(0, k),$ with $k \gt 6,$ is tangent to the lines $y = x,$ $y = -x$ and $y = 6.$ What is the radius of this circle?
  1. $6\sqrt{2} - 6$
  2. $6$
  3. $6\sqrt{2}$
  4. $12$
  5. $6 + 6\sqrt{2}$