{"status": "success", "data": {"description_md": "A dart board is a regular octagon divided into regions as shown. Suppose that a dart thrown at the board is equally likely to land anywhere on the board. What is the probability that the dart lands within the center square?\n\n<center>\n<img class=\"problem-image\" height=\"165\" src=\"https://latex.artofproblemsolving.com/6/8/1/68141b2184d1682ae8f8d03c273456191e2cb1bd.png\" width=\"165\"/>\n</center>\n\n$\\textbf{(A)}\\ \\frac{\\sqrt{2} - 1}{2} \\qquad\\textbf{(B)}\\ \\frac{1}{4} \\qquad\\textbf{(C)}\\ \\frac{2 - \\sqrt{2}}{2} \\qquad\\textbf{(D)}\\ \\frac{\\sqrt{2}}{4} \\qquad\\textbf{(E)}\\ 2 - \\sqrt{2}$", "description_html": "<p>A dart board is a regular octagon divided into regions as shown. Suppose that a dart thrown at the board is equally likely to land anywhere on the board. What is the probability that the dart lands within the center square?</p>&#10;<center>&#10;<img class=\"problem-image\" height=\"165\" src=\"https://latex.artofproblemsolving.com/6/8/1/68141b2184d1682ae8f8d03c273456191e2cb1bd.png\" width=\"165\"/>&#10;</center>&#10;<p><span class=\"katex--inline\">\\textbf{(A)}\\ \\frac{\\sqrt{2} - 1}{2} \\qquad\\textbf{(B)}\\ \\frac{1}{4} \\qquad\\textbf{(C)}\\ \\frac{2 - \\sqrt{2}}{2} \\qquad\\textbf{(D)}\\ \\frac{\\sqrt{2}}{4} \\qquad\\textbf{(E)}\\ 2 - \\sqrt{2}</span></p>&#10;", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 3, "problem_name": "2011 AMC 10B Problem 16", "can_next": true, "can_prev": true, "nxt": "/problem/11_amc10B_p17", "prev": "/problem/11_amc10B_p15"}}