{"id":"cb_question_bank:8a8c3323-e553-4b4a-b745-fec240211191","source_id":"cb_question_bank","source_item_id":"8a8c3323-e553-4b4a-b745-fec240211191","external_id":"889ad56f-33a9-4c3b-b4d8-24aba4870171","ibn":null,"question_id":"a0cacec1","program":"SAT","module":"math","domain_code":"S","domain":"Geometry and Trigonometry","skill_code":"S.D.","skill":"Circles","difficulty":"M","score_band":5,"answer_type":"spr","answer_source":"key","layout_warning":null,"form_id":null,"module_number":null,"position":null,"stem":"An angle has a measure of StartFraction 16 pi Over 15 EndFraction radians. What is the measure of the angle, in degrees ?","stimulus":"","stimulus_html":null,"stem_html":"<p>An angle has a measure of <math alttext=\"StartFraction 16 pi Over 15 EndFraction\"><mrow>\n\t<mfrac>\n\t\t<mrow>\n\t\t\t<mn>16</mn>\n\t\t\t<mi>π</mi>\n\t\t</mrow>\n\t\t<mn>15</mn>\n\t</mfrac>\n</mrow>\n</math> radians. What is the measure of the angle, in <span style=\"text-decoration: underline;\">degrees</span>?</p>\n<p>&nbsp;</p>","rationale_html":"<p style=\"text-align: left;\">The correct answer is <math alttext=\"192\"><mn>192</mn>\n</math>. The measure of an angle, in degrees, can be found by multiplying its measure, in radians, by <math alttext=\"StartFraction 180 degrees Over pi radians EndFraction\"><mfrac><mrow><mn>180</mn><mo>&nbsp;</mo><mtext>degrees</mtext></mrow><mrow><mi>π</mi><mo>&nbsp;</mo><mtext>radians</mtext></mrow></mfrac></math>. Multiplying the given angle measure, <math alttext=\"StartFraction 16 pi Over 15 EndFraction radians\"><mfrac><mrow><mn>16</mn><mi>π</mi></mrow><mn>15</mn></mfrac><mtext>radians</mtext></math>, by&nbsp;<math alttext=\"StartFraction 180 degrees Over pi radians EndFraction\"><mfrac><mrow><mn>180</mn><mo>&nbsp;</mo><mtext>degrees</mtext></mrow><mrow><mi>π</mi><mo>&nbsp;</mo><mtext>radians</mtext></mrow></mfrac></math> yields <math alttext=\"left parenthesis StartFraction 16 pi Over 15 EndFraction radians right parenthesis left parenthesis StartFraction 180 degrees Over pi r a d i a n s EndFraction right parenthesis\"><mfenced><mrow><mfrac><mrow><mn>16</mn><mi>π</mi></mrow><mn>15</mn></mfrac><mtext>radians</mtext></mrow></mfenced><mfenced><mfrac><mrow><mn>180</mn><mo>&nbsp;</mo><mtext>degrees</mtext></mrow><mrow><mi>π</mi><mo>&nbsp;</mo><mi>radians</mi></mrow></mfrac></mfenced></math>, which simplifies to <math alttext=\"192\"><mn>192</mn>\n</math> degrees.</p>","correct_answer":["192"],"has_media":false,"has_mathml":true,"has_table":false,"source_created_at":"2023-08-02T20:25:59.841000+00:00","source_updated_at":"2023-08-02T20:25:59.841000+00:00","options":[],"attribution":{"source_id":"cb_question_bank","source_name":"College Board digital SAT question bank (community dump)","rights_holder":"College Board","canonical_url":"https://satsuitequestionbank.collegeboard.org/","retrieved_from":"https://raw.githubusercontent.com/mdn522/sat-question-bank/main/data/cb-digital-questions.json","attribution":"SAT practice questions © College Board, from the official SAT Suite Question Bank. Retrieved via the community dump at github.com/mdn522/sat-question-bank.","disclaimer":"SAT® and PSAT/NMSQT® are trademarks registered by the College Board, which is not affiliated with, does not sponsor, and does not endorse this project.","license":"College Board copyright; source repository carries no licence. Local use only.","redistributable":false,"item_count":2017}}