Points A and B lie on a circle with radius 1, and arc has length . What fraction of the circumference of the circle is the length of arc ?
Correct answer: 1/6
(parsed from the explanation — this source omits an answer key
for this item)
Explanation
The correct answer is . The circumference, C, of a circle is , where r is the length of the radius of the circle. For the given circle with a radius of 1, the circumference is , or . To find what fraction of the circumference the length of arc is, divide the length of the arc by the circumference, which gives . This division can be represented by . Note that 1/6, .1666, .1667, 0.166, and 0.167 are examples of ways to enter a correct answer.
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.
id cb_question_bank:c21801ca-b8b0-4c44-a207-2f0b75275ac5 · question fb58c0db · IBN 070632-DC
· JSON