{"status": "success", "data": {"description_md": "Two circles are centred at the origin, as shown. The point $P(8,6)$ is on the larger circle and the point $S(0,k)$ is on the smaller circle. If $QR = 3$, what is the value of $k$?\n\n<center><img class=\"problem-image\" src=\"/static/pascal/2011/crops/11_pascal_p19_fig.png\" alt=\"figure\" width=\"367\"></center>\n\n$\\text{(A)}\\ 3.5\\qquad\\text{(B)}\\ 4\\qquad\\text{(C)}\\ 6\\qquad\\text{(D)}\\ 6.5\\qquad\\text{(E)}\\ 7$\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>Two circles are centred at the origin, as shown. The point <span class=\"katex--inline\">P(8,6)</span> is on the larger circle and the point <span class=\"katex--inline\">S(0,k)</span> is on the smaller circle. If <span class=\"katex--inline\">QR = 3</span>, what is the value of <span class=\"katex--inline\">k</span>?</p>\n<center><img class=\"problem-image\" src=\"/static/pascal/2011/crops/11_pascal_p19_fig.png\" alt=\"figure\" width=\"367\"></center>\n<p><span class=\"katex--inline\">\\text{(A)}\\ 3.5\\qquad\\text{(B)}\\ 4\\qquad\\text{(C)}\\ 6\\qquad\\text{(D)}\\ 6.5\\qquad\\text{(E)}\\ 7</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": "2011 Pascal Problem 19", "can_next": true, "can_prev": true, "nxt": "/problem/11_pascal_p20", "prev": "/problem/11_pascal_p18"}}