{"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":"f2c9ae1c-2c59-5bdf-9741-235f935d2ebe","task_key":"geometry--test--f2c9ae1c-2c59-5bdf-9741-235f935d2ebe","task_revision_id":"1","upstream_id":"","short_description":"Segment $AB$ measures 4 cm and is a diameter of circle $P$. In triangle $ABC$,…","config":"geometry","split":"test","body":"{\"level\":\"Level 4\",\"problem\":\"Segment $AB$ measures 4 cm and is a diameter of circle $P$. In triangle $ABC$, point $C$ is on circle $P$ and $BC = 2$ cm. What is the area of the shaded region?\\n\\n[asy]\\nimport graph;\\nfill(Circle((0,0),20),gray(0.7));\\ndraw(Circle((0,0),20));\\ndraw((-16,12)--(16,-12)--(0,-20)--cycle);\\nfill((-16,12)--(16,-12)--(0,-20)--cycle,white);\\nlabel(\\\"$A$\\\",(-16,12),NW);\\nlabel(\\\"$B$\\\",(16,-12),SE);\\nlabel(\\\"$C$\\\",(0,-20),S);\\nlabel(\\\"$P$\\\",(0,0),N);\\ndot((-16,12));\\ndot((16,-12));\\ndot((0,0));\\ndot((0,-20));\\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":[]}