Modded SAT Question Bank
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Test
Math
Domain
Geometry and Trigonometry
Skill
Circles
Difficulty
Hard
ID: fb58c0db
Modded SAT Question Bank by Abdullah Mallik

Points A and B lie on a circle with radius 1, and arc A, B has length pi over 3. What fraction of the circumference of the circle is the length of arc A, B ?

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Correct Answer:
Rationale

The correct answer is one sixth. The circumference, C, of a circle is C equals, 2 pi, r, where r is the length of the radius of the circle. For the given circle with a radius of 1, the circumference is C equals, 2 pi, times 1, or C equals, 2 pi. To find what fraction of the circumference the length of arc A, B is, divide the length of the arc by the circumference, which gives the fraction pi over 3, end fraction, divided by 2 pi. This division can be represented by the fraction pi over 3, end fraction, times the fraction 1 over 2 pi, end fraction, equals one sixth. Note that 1/6, .1666, .1667, 0.166, and 0.167 are examples of ways to enter a correct answer.

Question Difficulty: Hard
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