{"status": "success", "data": {"description_md": "A circle of radius $1$ is surrounded by $4$ circles of radius $r$ as shown. What is $r$?\n$$\n<center>\n<img class=\"problem-image\" height=\"232\" src=\"https://latex.artofproblemsolving.com/0/9/1/0916dbd96f1ec23e5b075b5070e690e9970968fa.png\" width=\"232\"/>\n</center>$$\n\n$\\textbf{(A) } \\sqrt{2} \\qquad\\textbf{(B) } 1+\\sqrt{2} \\qquad\\textbf{(C) } \\sqrt{6} \\qquad\\textbf{(D) } 3 \\qquad\\textbf{(E) } 2+\\sqrt{2}$", "description_html": "<p>A circle of radius  <span class=\"katex--inline\">1</span>  is surrounded by  <span class=\"katex--inline\">4</span>  circles of radius  <span class=\"katex--inline\">r</span>  as shown. What is  <span class=\"katex--inline\">r</span> ?<br/>\n$$</p>\n<center>\n<img class=\"problem-image\" height=\"232\" src=\"https://latex.artofproblemsolving.com/0/9/1/0916dbd96f1ec23e5b075b5070e690e9970968fa.png\" width=\"232\"/>\n</center>$$\n<p> <span class=\"katex--inline\">\\textbf{(A) } \\sqrt{2} \\qquad\\textbf{(B) } 1+\\sqrt{2} \\qquad\\textbf{(C) } \\sqrt{6} \\qquad\\textbf{(D) } 3 \\qquad\\textbf{(E) } 2+\\sqrt{2}</span> </p>\n<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": "2007 AMC 10B Problem 18", "can_next": true, "can_prev": true, "nxt": "/problem/07_amc10B_p19", "prev": "/problem/07_amc10B_p17"}}