{"kind":"task","effective_mode":"full","benchmark":{"kind":"benchmark","effective_mode":"full","slug":"math","formal_name":"MATH","introduction":"MATH organises 12,500 high-school competition problems into seven subjects and five difficulty levels, each with a full worked solution. It underlies much of the later mathematics evaluation work; this catalogue imports the full test split: 5,000 problems across all seven subjects.","introduction_ja":"","introduction_en":"","category":"Category not supplied","task_count":null,"acquisition_status":"Acquisition status not supplied","official_url":"https://github.com/hendrycks/math","indexing_mode":"index","profile":{"resources":[],"task_format":"","scoring":"","metric":"","size":"","answer_access":"","license":"","citation":"","maintainer":"","released":"","why_hard":"","related":[],"history":"","construction":"","limitations":"","saturation":"","scores":[]}},"task_id":"69c40072-cb69-5cad-8446-2f52fb79d06d","task_key":"geometry--test--69c40072-cb69-5cad-8446-2f52fb79d06d","task_revision_id":"1","upstream_id":"","short_description":"In the circle below, $\\overline{AB} \\| \\overline{CD}$. $\\overline{AD}$ is a…","config":"geometry","split":"test","body":"{\"level\":\"Level 4\",\"problem\":\"In the circle below, $\\\\overline{AB} \\\\| \\\\overline{CD}$. $\\\\overline{AD}$ is a diameter of the circle, and $AD = 36^{\\\\prime \\\\prime}$. What is the number of inches in the length of $\\\\widehat{AB}$? Express your answer in terms of $\\\\pi$. [asy]\\nimport markers;\\nimport olympiad; size(150); import geometry; import graph; defaultpen(linewidth(0.8));\\ndraw(Circle(origin,36));\\npair A = 36*dir(130);\\npair B = 36*dir(50);\\npair D = 36*dir(-50);\\npair C = 36*dir(-130);\\ndraw(B--A--D--C);\\nlabel(\\\"$A$\\\",A,W); label(\\\"$B$\\\",B,E); label(\\\"$C$\\\",C,W); label(\\\"$D$\\\",D,E);\\nmarkangle(\\\"$50^{\\\\circ}$\\\",D,A,B,radius=10);\\n[/asy]\",\"type\":\"Geometry\"}","display_format":"math","language":"","answer_status":"published","assets":[],"source_url":"https://github.com/hendrycks/math","history":"initial import","indexing_mode":"index","subproblems":[],"grids":[]}