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8 May, 16:12

A circle with circumference 6 has an arc with a 20º central angle.

What is the length of the arc?

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Answers (1)
  1. 8 May, 18:12
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    length of an arc = 1 / 3 unit or 0.3unit

    Step-by-step explanation:

    to calculate the length of an arc, having it in mind that the arc is a portion of the circumference of a circle.

    circumference of a circle = 6unit

    Ф = 20°

    recall,

    the formulae for finding the length of an arc

    = 2πr (Ф/360)

    assuming that r is the radius of the circle

    so, the circumference of a circle is given to be = 2πr

    6 = 2πr

    r = (6/2π)

    length of an arc = 2πr (Ф/360)

    remember that r = (6/2π)

    length of an arc = 2π (6/2π) [20°/360°]

    length of an arc = 6 * 20°/360°

    length of an arc = 120°/360°

    length of an arc = 1/3unit
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