{"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":"7711248e-f390-5c93-9818-113e5a519493","task_key":"geometry--test--7711248e-f390-5c93-9818-113e5a519493","task_revision_id":"1","upstream_id":"","short_description":"$ABCD$ is a square with $AB = 8$cm. Arcs $BC$ and $CD$ are semicircles. Express…","config":"geometry","split":"test","body":"{\"level\":\"Level 4\",\"problem\":\"$ABCD$ is a square with $AB = 8$cm. Arcs $BC$ and $CD$ are semicircles. Express the area of the shaded region, in square centimeters, and in terms of $\\\\pi$. (As always, do not include units in your submitted answer.) [asy]\\nreal y = .866025404;\\ndraw((-1,-1)--(1, -1) -- (1, 1) -- (-1, 1)--cycle );\\ndraw( Arc( (1,0), 1, 90, 270));\\ndraw( Arc( (0,1), 1, 180, 360));\\nfill((0,0)..(.5, y).. (1,1) --cycle, gray(0.7)); fill((0,0)..(y, .5).. (1,1) --cycle, gray(0.7));\\nlabel (\\\"$A$\\\", (-1,-1) , SW); label (\\\"$B$\\\", (1,-1) , SE); label (\\\"$C$\\\", (1,1) , NE); label (\\\"$D$\\\", (-1,1) , NW);\\n\\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":[]}