{"id":"cb_practice_pdf:t11-math-m2-q14","source_id":"cb_practice_pdf","source_item_id":"t11-math-m2-q14","external_id":null,"ibn":null,"question_id":null,"program":"SAT","module":"math","domain_code":null,"domain":null,"skill_code":null,"skill":null,"difficulty":null,"score_band":null,"answer_type":"spr","answer_source":"rationale","layout_warning":"Part of this question was typeset outside the text flow — a fraction, subscript or similar — and PDF extraction re-inserted it in the wrong place. The wording is reliable; the symbols may be out of order.","form_id":"cb_practice_pdf:test-11","module_number":2,"position":14,"stem":"14 What is the radius of the circle in the xy-plane defined by x + 2 + y + 5 = 169? ^ h^2 ^ h^2","stimulus":"","stimulus_html":null,"stem_html":"<p>14 What is the radius of the circle in the xy-plane defined by x + 2 + y + 5 = 169? ^ h^2 ^ h^2</p>","rationale_html":"<p>13 The correct answer is . The equation of a circle in the xy-plane can be written in - 2+ - 2= 2 the form ^x hh ^y kh r , where ^h,kh is the center of the circle and r is the radius of the circle. It’s given that the circle in the xy-plane is defined by +2 2+ +5 2=169 2=169 ^x h ^y h . Therefore, r . Taking the positive square root of =13 13 both sides of this equation yields r . Thus, the radius of the circle is .</p>","correct_answer":["13"],"has_media":false,"has_mathml":false,"has_table":false,"source_created_at":null,"source_updated_at":null,"options":[],"attribution":{"source_id":"cb_practice_pdf","source_name":"College Board full-length SAT practice tests (PDF)","rights_holder":"College Board","canonical_url":"https://satsuite.collegeboard.org/practice/practice-tests/paper","retrieved_from":"https://satsuite.collegeboard.org/practice/practice-tests/paper","attribution":"Full-length SAT practice tests 4–11 © College Board, published free at satsuite.collegeboard.org.","disclaimer":"Extracted from PDF layout: equations, figures and tables do not survive intact. Use the original PDFs for anything the text renders poorly. SAT® is a trademark registered by the College Board, which is not affiliated with and does not endorse this project.","license":"College Board copyright. Free to download; not licensed for redistribution.","redistributable":false,"item_count":905}}