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16 July, 09:54

A circle with circumference 6 has an arc with a 60° central angle.

What is the length of the arc?

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  1. 16 July, 10:56
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    length of an arc = 1unit

    Step-by-step explanation:

    given that the circumference of a circle = 6

    central angle = 60

    length of the arc = ?

    recall that the circumference of a circle = 2πr

    6 = 2πr

    r = 6/2π

    now to calculate the length of an arc

    recall,

    length of an arc = 2πr (Ф/360)

    length of an arc = 2π (6/2π) * 60/360

    length of an arc = 6 * 60/360

    length of an arc = 360/360

    length of an arc = 1unit

    therefore the length of the arc whose circumference is 6 and arc angle is 60° is evaluated to be 1unit
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