{"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 the fourth side?\n\n$\\textbf{(A) }200\\qquad \\textbf{(B) }200\\sqrt{2}\\qquad\\textbf{(C) }200\\sqrt{3}\\qquad\\textbf{(D) }300\\sqrt{2}\\qquad\\textbf{(E) } 500$", "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 the fourth side?</p>\n<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>\n<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": 4, "problem_name": "2016 AMC 10A Problem 24", "can_next": true, "can_prev": true, "nxt": "/problem/16_amc10A_p25", "prev": "/problem/16_amc10A_p23"}}