{"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":"98bece5d-d77b-5d84-b4b5-a0159f710af5","task_key":"geometry--test--98bece5d-d77b-5d84-b4b5-a0159f710af5","task_revision_id":"1","upstream_id":"","short_description":"A plane contains points $A$ and $B$ with $AB = 1$. Let $S$ be the union of all…","config":"geometry","split":"test","body":"{\"level\":\"Level 5\",\"problem\":\"A plane contains points $A$ and $B$ with $AB = 1$.  Let $S$ be the union of all disks of radius 1 in the plane that cover $\\\\overline{AB}$. What is the area of $S$? Express your answer in terms of $\\\\pi$ and in simplest radical form.\",\"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":[]}