{"status": "success", "data": {"description_md": "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?\n\n$\\mathrm{(A)}\\ 6\\sqrt{2}-6 \\qquad<br>\\mathrm{(B)}\\ 6 \\qquad<br>\\mathrm{(C)}\\ 6\\sqrt{2} \\qquad<br>\\mathrm{(D)}\\ 12 \\qquad<br>\\mathrm{(E)}\\ 6+6\\sqrt{2}$\n___\nFull credit goes to [MAA](https://maa.org/) for authoring these problems. These problems were taken on the [AOPS](https://artofproblemsolving.com/) website.", "description_html": "<p>A circle having center  <span class=\"katex--inline\">(0,k)</span> , with  <span class=\"katex--inline\">k&gt;6</span> ,is tangent to the lines  <span class=\"katex--inline\">y=x</span> ,  <span class=\"katex--inline\">y=-x</span>  and  <span class=\"katex--inline\">y=6</span> . What is the radius of this circle?</p>&#10;<p> <span class=\"katex--inline\">\\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}</span> </p>&#10;<hr><p>Full credit goes to <a href=\"https://maa.org/\">MAA</a> for authoring these problems. These problems were taken on the <a href=\"https://artofproblemsolving.com/\">AOPS</a> website.</p>", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 3, "problem_name": "2005 AMC 12B Problem 14", "can_next": true, "can_prev": true, "nxt": "/problem/05_amc12B_p15", "prev": "/problem/05_amc12B_p13"}}