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A Ferris wheel travels around at a rate of 25 m/min and takes 19 min to do a full revolution. What is the radius of the Ferris wheel?

A Ferris wheel travels around at a rate of 25 m/min and takes 19 min to do a full-example-1

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After 19 min of spinning, the Ferris wheel completes one revolution, so any fixed point on the wheel returns to the position at which it started. This point would cover a distance equal to the circumference of the wheel, equal to 2π times the radius r of the wheel.

This means the circumference of the wheel is

(25 m/min) * (19 min) = 475 m

and so the radius of the wheel is

(475 m) / (2π) = r = 75.59 m

which most closely matches D.

User Hodossy Szabolcs
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