{"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":"795f1820-fa7d-5c89-a66a-cff20644ae0a","task_key":"geometry--test--795f1820-fa7d-5c89-a66a-cff20644ae0a","task_revision_id":"1","upstream_id":"","short_description":"A decorative arrangement of floor tiles forms concentric circles, as shown in…","config":"geometry","split":"test","body":"{\"level\":\"Level 3\",\"problem\":\"A decorative arrangement of floor tiles forms concentric circles, as shown in the figure to the right. The smallest circle has a radius of 2 feet, and each successive circle has a radius 2 feet longer. All the lines shown intersect at the center and form 12 congruent central angles. What is the area of the shaded region? Express your answer in terms of $\\\\pi$. [asy]\\nfill((2,0)--(4,0)..scale(4)*dir(15).. scale(4)*dir(30)--scale(2)*dir(30)..scale(2)*dir(15)..cycle,gray(.7));\\ndraw(Circle((0,0),2),linewidth(1));\\ndraw(Circle((0,0),4),linewidth(1));\\ndraw(Circle((0,0),6),linewidth(1));\\ndraw(Circle((0,0),8),linewidth(1));\\ndraw((0,0)--scale(8)*dir(30),linewidth(1));\\ndraw((0,0)--scale(8)*dir(60),linewidth(1));\\ndraw((0,0)--scale(8)*dir(90),linewidth(1));\\ndraw((0,0)--scale(8)*dir(120),linewidth(1));\\ndraw((0,0)--scale(8)*dir(150),linewidth(1));\\ndraw((0,0)--scale(8)*dir(180),linewidth(1));\\ndraw((0,0)--scale(8)*dir(210),linewidth(1));\\ndraw((0,0)--scale(8)*dir(240),linewidth(1));\\ndraw((0,0)--scale(8)*dir(270),linewidth(1));\\ndraw((0,0)--scale(8)*dir(300),linewidth(1));\\ndraw((0,0)--scale(8)*dir(330),linewidth(1));\\ndraw((0,0)--scale(8)*dir(0),linewidth(1));\\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":[]}