{"status": "success", "data": {"description_md": "A hexagon that is inscribed in a circle has side lengths $22$, $22$, $20$, $22$, $22$, and $20$ in that order. The radius of the circle can be written as $p+\\sqrt{q}$, where $p$ and $q$ are positive integers. Find $p+q$.\n___\nLeading zeroes must be inputted, so if your answer is `34`, then input `034`. Full 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 hexagon that is inscribed in a circle has side lengths <span class=\"katex--inline\">22</span>, <span class=\"katex--inline\">22</span>, <span class=\"katex--inline\">20</span>, <span class=\"katex--inline\">22</span>, <span class=\"katex--inline\">22</span>, and <span class=\"katex--inline\">20</span> in that order. The radius of the circle can be written as <span class=\"katex--inline\">p+\\sqrt{q}</span>, where <span class=\"katex--inline\">p</span> and <span class=\"katex--inline\">q</span> are positive integers. Find <span class=\"katex--inline\">p+q</span>.</p>&#10;<hr><p>Leading zeroes must be inputted, so if your answer is <code>34</code>, then input <code>034</code>. 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": 4, "problem_name": "2013 AIME II Problem 8", "can_next": true, "can_prev": true, "nxt": "/problem/13_aime_II_p09", "prev": "/problem/13_aime_II_p07"}}