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9 August, 17:33

It takes a wheel 200 feet to complete 12 revolutions. Find the length of an arc of the wheel to the nearest hundredth created by a central angle of 1 radian.

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  1. 9 August, 20:38
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    2.65 feet

    Step-by-step explanation:

    Each revolution corresponds to a central angle of 2π radians, so 12 revolutions represent an arc of 24π radians. That means the arc length of 1 radian is ...

    (1 rad) (200 ft) / (24π rad) ≈ 2.65 ft

    The length of the arc with a central angle of 1 rad is about 2.65 feet.
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