2005 AMC 12B Problems/Problem 14

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This problem has not been edited in. If you know this problem, please help us out by adding it. A circle having center $(0,k)$ , with $k>6$ , is tangent to the lines $y=x$ , $y=-x$ and $y=6$ . What is the radius of this circle?

$\mathrm{(A)}\ 6\sqrt{2}-6 \qquad \mathrm{(B)}\ 6 \qquad \mathrm{(C)}\ 6\sqrt{2} \qquad \mathrm{(D)}\ 12 \qquad \mathrm{(E)}\ 6+6\sqrt{2}$

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2005 AMC 12B Problems/Problem 14

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