{"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>?</p>&#10;<center>&#10;<img class=\"problem-image\" height=\"232\" src=\"https://latex.artofproblemsolving.com/0/9/1/0916dbd96f1ec23e5b075b5070e690e9970968fa.png\" width=\"232\"/>&#10;</center>&#10;<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>&#10;", "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"}}