{"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":"b1eb87bc-bf21-5251-8699-c8f0025c2f74","task_key":"geometry--test--b1eb87bc-bf21-5251-8699-c8f0025c2f74","task_revision_id":"1","upstream_id":"","short_description":"A paper cone is to be made from a three-quarter circle having radius 4 inches…","config":"geometry","split":"test","body":"{\"level\":\"Level 2\",\"problem\":\"A paper cone is to be made from a three-quarter circle having radius 4 inches (shaded). What is the length of the arc on the discarded quarter-circle (dotted portion)? Express your answer in terms of $\\\\pi$.\\n\\n[asy]\\nsize(80);\\nimport graph;\\ndraw(Arc((0,0),1,0,90),linetype(\\\"2 4\\\"));\\nfilldraw((0,0)--(0,1)--Arc((0,0),1,90,360)--cycle,gray(.6),linewidth(1));\\nlabel(\\\"$4''$\\\",(.5,0),S,fontsize(12pt));[/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":[]}