{"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":"ce16e652-816b-5e0d-9552-acc360da57ce","task_key":"geometry--test--ce16e652-816b-5e0d-9552-acc360da57ce","task_revision_id":"1","upstream_id":"","short_description":"A semicircle is constructed along each side of a right triangle with legs 6…","config":"geometry","split":"test","body":"{\"level\":\"Level 4\",\"problem\":\"A semicircle is constructed along each side of a right triangle with legs 6 inches and 8 inches. The semicircle placed along the hypotenuse is shaded, as shown. What is the total area of the two non-shaded crescent-shaped regions? Express your answer in simplest form.\\n\\n[asy]\\nunitsize(0.4cm);\\nsize(101);\\npair A = (0,3), B = (0,0), C = (4,0);\\nfilldraw(A..B..C--cycle,gray(0.6),black);\\ndraw(A--B--C);\\ndraw(Arc(A/2,3/2,90,270)^^Arc(C/2,2,0,-180)); draw(rightanglemark(A,B,C));\\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":[]}