{"status": "success", "data": {"description_md": "In the diagram, two circles with centres $A$ and $B$ intersect at points $P$ and $Q$ so that $\\angle PAQ = 60\u00b0$ and $\\angle PBQ = 90\u00b0$. What is the ratio of the area of the circle with centre $A$ to the area of the circle with centre $B$?\n\n<center><img class=\"problem-image\" src=\"/static/pascal/2003/crops/03_pascal_p22_fig.png\" alt=\"figure\" width=\"342\"></center>\n\n$\\text{(A)}\\ 3:1\\qquad\\text{(B)}\\ 3:2\\qquad\\text{(C)}\\ 4:3\\qquad\\text{(D)}\\ 2:1\\qquad\\text{(E)}\\ 9:4$\n\n___\n\n**[Pascal](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, two circles with centres <span class=\"katex--inline\">A</span> and <span class=\"katex--inline\">B</span> intersect at points <span class=\"katex--inline\">P</span> and <span class=\"katex--inline\">Q</span> so that <span class=\"katex--inline\">\\angle PAQ = 60\u00b0</span> and <span class=\"katex--inline\">\\angle PBQ = 90\u00b0</span>. What is the ratio of the area of the circle with centre <span class=\"katex--inline\">A</span> to the area of the circle with centre <span class=\"katex--inline\">B</span>?</p>\n<center><img class=\"problem-image\" src=\"/static/pascal/2003/crops/03_pascal_p22_fig.png\" alt=\"figure\" width=\"342\"></center>\n<p><span class=\"katex--inline\">\\text{(A)}\\ 3:1\\qquad\\text{(B)}\\ 3:2\\qquad\\text{(C)}\\ 4:3\\qquad\\text{(D)}\\ 2:1\\qquad\\text{(E)}\\ 9:4</span></p>\n<hr>\n<p><strong><a href=\"https://www.cemc.uwaterloo.ca/contests/past_contests.html#pcf\">Pascal</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": 2, "problem_name": "2003 Pascal Problem 22", "can_next": true, "can_prev": true, "nxt": "/problem/03_pascal_p23", "prev": "/problem/03_pascal_p21"}}