{"id":"cb_question_bank:86167346-024a-4f53-873b-68c58887062f","source_id":"cb_question_bank","source_item_id":"86167346-024a-4f53-873b-68c58887062f","external_id":"408558ac-8ac7-4c5e-ad29-a40f145bdcfb","ibn":null,"question_id":"74d8b897","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 9 pi Over 20 EndFraction radians. What is the measure of the angle in degrees ?","stimulus":"","stimulus_html":null,"stem_html":"<p style=\"text-align: left;\">An angle has a measure of <math alttext=\"StartFraction 9 pi Over 20 EndFraction\"><mfrac><mrow><mrow><mn>9</mn></mrow><mi>π</mi></mrow><mrow><mn>20</mn></mrow></mfrac></math> radians. What is the measure of the angle in <span style=\"text-decoration: underline;\">degrees</span>?</p>","rationale_html":"<p style=\"text-align: left;\">The correct answer is <math alttext=\"81\"><mn>81</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 9 pi Over 20 EndFraction\"><mfrac><mrow><mn>9</mn><mi>π</mi></mrow><mn>20</mn></mfrac></math> radians, 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 9 pi Over 20 EndFraction radians right parenthesis left parenthesis StartFraction 180 degrees Over pi radians EndFraction right parenthesis\"><mfenced><mrow><mfrac><mrow><mn>9</mn><mi>π</mi></mrow><mn>20</mn></mfrac><mo>&nbsp;</mo><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><mtext>radians</mtext></mrow></mfrac></mfenced></math>, which is equivalent to <math alttext=\"81\"><mn>81</mn>\n</math> degrees.</p>","correct_answer":["81"],"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}}