SAT Math Multiple Choice Practice Question 218: Answer and Explanation

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Question: 218

20. A wheel with a diameter of 24 inches rolls along the ground. If it rotates 150 times, approximately how far will the wheel travel, in feet?

A. 150π
B. 240π
C. 300π
D. 360π
E. 480π

Correct Answer: C


C. Each time the wheel rolls, it travels the length of its circumference. Remember that circumference = 2πr or πd. So, in this case, the circumference is 24π inches, or 2π feet. Multiply that distance by 150 rotations, and the distance is 2π(150) = 300π.

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