{"status": "success", "data": {"description_md": "In the diagram, points $P$, $Q$ and $R$ lie on a circle with centre $O$ and radius 12, and point $S$ lies on $OR$. If $\\angle POR = 135\u00b0$, the area of trapezoid $OPQS$ is closest to\n\n<center><img class=\"problem-image\" src=\"/static/cayley/2012/crops/12_cayley_p23_fig.png\" alt=\"figure\" width=\"303\"></center>\n\n$\\text{(A)}\\ 216\\qquad\\text{(B)}\\ 144\\qquad\\text{(C)}\\ 108\\qquad\\text{(D)}\\ 112.5\\qquad\\text{(E)}\\ 114.6$\n\n___\n\n**[Cayley](https://www.cemc.uwaterloo.ca/contests/past_contests.html#pcf), by [CEMC](https://cemc.uwaterloo.ca/), is licensed under the [CC BY-NC 3.0 DEED](https://creativecommons.org/licenses/by-nc/3.0/). They are not affiliated with or endorse TopsOJ in any way.**\n", "description_html": "<p>In the diagram, points <span class=\"katex--inline\">P</span>, <span class=\"katex--inline\">Q</span> and <span class=\"katex--inline\">R</span> lie on a circle with centre <span class=\"katex--inline\">O</span> and radius 12, and point <span class=\"katex--inline\">S</span> lies on <span class=\"katex--inline\">OR</span>. If <span class=\"katex--inline\">\\angle POR = 135\u00b0</span>, the area of trapezoid <span class=\"katex--inline\">OPQS</span> is closest to</p>\n<center><img class=\"problem-image\" src=\"/static/cayley/2012/crops/12_cayley_p23_fig.png\" alt=\"figure\" width=\"303\"></center>\n<p><span class=\"katex--inline\">\\text{(A)}\\ 216\\qquad\\text{(B)}\\ 144\\qquad\\text{(C)}\\ 108\\qquad\\text{(D)}\\ 112.5\\qquad\\text{(E)}\\ 114.6</span></p>\n<hr>\n<p><strong><a href=\"https://www.cemc.uwaterloo.ca/contests/past_contests.html#pcf\">Cayley</a>, by <a href=\"https://cemc.uwaterloo.ca/\">CEMC</a>, is licensed under the <a href=\"https://creativecommons.org/licenses/by-nc/3.0/\">CC BY-NC 3.0 DEED</a>. They are not affiliated with or endorse TopsOJ in any way.</strong></p>\n", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 3, "problem_name": "2012 Cayley Problem 23", "can_next": true, "can_prev": true, "nxt": "/problem/12_cayley_p24", "prev": "/problem/12_cayley_p22"}}