{"status": "success", "data": {"description_md": "Two circles are externally tangent at point $X$. One of their tangents not passing through $X$ intersects them at points $Y$ and $Z$. Given that the area of the circumcircle of triangle $XYZ$ is $15\\pi$, find the product of the radii of the two circles.", "description_html": "<p>Two circles are externally tangent at point <span class=\"katex--inline\">X</span>. One of their tangents not passing through <span class=\"katex--inline\">X</span> intersects them at points <span class=\"katex--inline\">Y</span> and <span class=\"katex--inline\">Z</span>. Given that the area of the circumcircle of triangle <span class=\"katex--inline\">XYZ</span> is <span class=\"katex--inline\">15\\pi</span>, find the product of the radii of the two circles.</p>&#10;", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 2, "problem_name": "Problem of the Day #66", "can_next": false, "can_prev": false, "nxt": "", "prev": ""}}