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19 April, 12:46

At the doctor's office, there is a scale that measures people's weight. The needle is 20 cm long, and it rotated 100° when Frank stepped on it. How far did the needle travel as it rotated?

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  1. 19 April, 13:05
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    Given:

    length of the needle: 20 cm

    angle 100°

    We need to solve for the length of an arc to get the distance the needle has traveled.

    Length of an Arc = n°/360° * 2πr

    Length of an Arc = 100°/360° * 2 * 3.14 * 20cm

    Length of an Arc = 0.28 * 125.6 cm

    Length of an Arc = 35.17 cm
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