Pre-Calculus

The minute hand of a clock is 3 inches long. How far does the tip of the minute hand move in 5 minutes? If necessary, round the answer to two decimal places.

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  1. 5 minutes is 1/12 of an hour.
    The hand makes one complete circle in an hour

    So, it moves 1/12 of the whole circumference in 5 minutes.

    I assume you know how to find the circumference of a circle of radius 3.

    Note that since there are 2π radians in a whole circle, that is why c = 2πr

    For another angle θ, the arc length (distance around the circumference) is s = rθ

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  2. 1.7

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