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17 January, 06:42

The diameter of a circle is 18 kilometers. What is the length of a 120° arc?

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  1. 17 January, 08:42
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    Answer: 18.85 kilometers

    Step-by-step explanation:

    Arc length = 2πr∅°/360

    = πr∅°/180°

    Note, the diameter of the circle was given and not the radius.

    Recall,

    2r = d

    r = d/2

    = 18/2

    = 9.

    Now to find the length of the arc, use the formula above

    Arc length = π x r x ∅°/180°

    = 3.142 x 9 x 120°/180°

    = 3,393.36/180°

    = 18.85 kilometers.
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