An object travels along a circular path so that it completes one revolution in 8 seconds. If the linear velocity of the object is 90 pi inches per minute, what is the diameter, in inches, of the circular path?

Eight seconds per revolution means the object makes 60 ÷ 8 = 7.5 revolutions per minute. Its distance per revolution is therefore 90π ÷ 7.5 = 12π inches, which is the circle’s circumference. Since circumference = π × diameter, the diameter is 12 inches, choice A.

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