{"status": "success", "data": {"description_md": "A circle with radius $6$ is externally tangent to a circle with radius $24$. Find the area of the triangular region bounded by the three common tangent lines of these two circles.\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 with radius <span class=\"katex--inline\">6</span> is externally tangent to a circle with radius <span class=\"katex--inline\">24</span>. Find the area of the triangular region bounded by the three common tangent lines of these two circles.</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": 4, "problem_name": "2022 AIME II Problem 7", "can_next": true, "can_prev": true, "nxt": "/problem/22_aime_II_p08", "prev": "/problem/22_aime_II_p06"}}