{"status": "success", "data": {"description_md": "A quadrilateral is inscribed in a circle of radius $200\\sqrt{2}.$ Three of the sides of this quadrilateral have length $200.$ What is the length of its fourth side? \n\n$\\textbf{(A)}\\ 200\\qquad\\textbf{(B)}\\ 200\\sqrt{2} \\qquad\\textbf{(C)}\\ 200\\sqrt{3} \\qquad\\textbf{(D)}\\ 300\\sqrt{2} \\qquad\\textbf{(E)}\\ 500$\n___\nFull 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 quadrilateral is inscribed in a circle of radius  <span class=\"katex--inline\">200\\sqrt{2}.</span>  Three of the sides of this quadrilateral have length  <span class=\"katex--inline\">200.</span>  What is the length of its fourth side?</p>&#10;<p> <span class=\"katex--inline\">\\textbf{(A)}\\ 200\\qquad\\textbf{(B)}\\ 200\\sqrt{2} \\qquad\\textbf{(C)}\\ 200\\sqrt{3} \\qquad\\textbf{(D)}\\ 300\\sqrt{2} \\qquad\\textbf{(E)}\\ 500</span> </p>&#10;<hr><p>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": 5, "problem_name": "2016 AMC 12A Problem 21", "can_next": true, "can_prev": true, "nxt": "/problem/16_amc12A_p22", "prev": "/problem/16_amc12A_p20"}}