{"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":"97a14dd3-9dea-563d-9c54-f8f6c31f2e89","task_key":"geometry--test--97a14dd3-9dea-563d-9c54-f8f6c31f2e89","task_revision_id":"1","upstream_id":"","short_description":"The two externally tangent circles each have a radius of 1 unit. Each circle is…","config":"geometry","split":"test","body":"{\"level\":\"Level 2\",\"problem\":\"The two externally tangent circles each have a radius of 1 unit. Each circle is tangent to three sides of the rectangle. What is the area of the shaded region? Express your answer in terms of $\\\\pi$.\\n\\n[asy]import graph;\\ndefaultpen(linewidth(.8pt));\\nfill((-40,20)--(40,20)--(40,-20)--(-40,-20)--cycle,gray);\\nfill(Circle((-20,0),20),white);\\nfill(Circle((20,0),20),white);\\ndraw((-40,20)--(40,20)--(40,-20)--(-40,-20)--cycle);\\ndraw(Circle((-20,0),20));\\ndraw(Circle((20,0),20));\\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":[]}