The length of a swing is 2.1m if the length of the arch that is made by the swing is 4.4m calculate the angle swept by the swing

Question

The length of a swing is 2.1m if the length of the arch that is made by the swing is 4.4m calculate the angle swept by the swing

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Minh Khuê 4 years 2021-08-26T08:19:46+00:00 1 Answers 9 views 0

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  1. nguyetanh
    0
    2021-08-26T08:21:42+00:00
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    Answer:

    The angle swept by the swing is 120 degrees

    Step-by-step explanation:

    Here, we are given the radius of the circle that makes the arc, and the length of the arc

    Mathematically, we are to find the central angle

    That would be;

    The length of an arc is;

    theta/360 * 2 * pi * r

    theta is the central angle we are looking for and r in this case is 2.1 m

    Thus, we have it that;

    theta/360 * 2 * 22/7 * 2.1 = 4.4

    theta = (360 * 4.4 * 7)/(2 * 22 * 2.1)

    theta = 120 degrees

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