{"status": "success", "data": {"description_md": "A pair of standard $6$-sided fair dice is rolled once.  The sum of the numbers rolled determines the diameter of a circle.  What is the probability that the numerical value of the area of the circle is less than the numerical value of the circle's circumference?\n\n$\\textbf{(A)}\\,\\frac{1}{36} \\qquad\\textbf{(B)}\\,\\frac{1}{12} \\qquad\\textbf{(C)}\\,\\frac{1}{6} \\qquad\\textbf{(D)}\\,\\frac{1}{4} \\qquad\\textbf{(E)}\\,\\frac{5}{18}$", "description_html": "<p>A pair of standard <span class=\"katex--inline\">6</span>-sided fair dice is rolled once.  The sum of the numbers rolled determines the diameter of a circle.  What is the probability that the numerical value of the area of the circle is less than the numerical value of the circle&#8217;s circumference?</p>&#10;<p><span class=\"katex--inline\">\\textbf{(A)}\\,\\frac{1}{36} \\qquad\\textbf{(B)}\\,\\frac{1}{12} \\qquad\\textbf{(C)}\\,\\frac{1}{6} \\qquad\\textbf{(D)}\\,\\frac{1}{4} \\qquad\\textbf{(E)}\\,\\frac{5}{18}</span></p>&#10;", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 3, "problem_name": "2011 AMC 10A Problem 14", "can_next": true, "can_prev": true, "nxt": "/problem/11_amc10A_p15", "prev": "/problem/11_amc10A_p13"}}