{"status": "success", "data": {"description_md": "A circle is inscribed in quadrilateral $ABCD,$ tangent to $\\overline{AB}$ at $P$ and to $\\overline{CD}$ at $Q.$ Given that $AP=19, PB=26, CQ=37,$ and $QD=23,$ find the square of the radius of the circle.\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 circle is inscribed in quadrilateral <span class=\"katex--inline\">ABCD,</span> tangent to <span class=\"katex--inline\">\\overline{AB}</span> at <span class=\"katex--inline\">P</span> and to <span class=\"katex--inline\">\\overline{CD}</span> at <span class=\"katex--inline\">Q.</span> Given that <span class=\"katex--inline\">AP=19, PB=26, CQ=37,</span> and <span class=\"katex--inline\">QD=23,</span> find the square of the radius of the circle.</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": 5, "problem_name": "2000 AIME II Problem 10", "can_next": true, "can_prev": true, "nxt": "/problem/00_aime_II_p11", "prev": "/problem/00_aime_II_p09"}}