{"status": "success", "data": {"description_md": "A machine-shop cutting tool has the shape of a notched circle, as shown. The radius of the circle is $\\sqrt{50}$ cm, the length of $AB$ is 6 cm, and that of $BC$ is 2 cm. The angle $ABC$ is a right angle. Find the square of the distance (in centimeters) from $B$ to the center of the circle.<br>$\\includegraphics[width=126, height=119, totalheight=119]{https://latex.artofproblemsolving.com/5/f/5/5f53f3d74ec6940b26cbde716c160b688ec447fa.png}$\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 machine-shop cutting tool has the shape of a notched circle, as shown. The radius of the circle is <span class=\"katex--inline\">\\sqrt{50}</span> cm, the length of <span class=\"katex--inline\">AB</span> is 6 cm, and that of <span class=\"katex--inline\">BC</span> is 2 cm. The angle <span class=\"katex--inline\">ABC</span> is a right angle. Find the square of the distance (in centimeters) from <span class=\"katex--inline\">B</span> to the center of the circle.<br/><img src=\"https://latex.artofproblemsolving.com/5/f/5/5f53f3d74ec6940b26cbde716c160b688ec447fa.png\" width=\"126\" height=\"119\" class=\"problem-image\"/></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": 3, "problem_name": "1983 AIME Problem 4", "can_next": true, "can_prev": true, "nxt": "/problem/83_aime_p05", "prev": "/problem/83_aime_p03"}}