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23 November, 07:09

The radius of a circle is 6 miles. what is the length of a 135° arc? 135° r=6 mi

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  1. 23 November, 07:37
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    This is the formula to determine the length of arc

    length of arc = angle/360° * circumference

    First we should find the circle circumference

    c = 2 * π * r

    c = 2 * 3.14 * 6

    c = 37.68 miles

    Second find the length of arc

    length of arc = angle/360 * circumference

    length of arc = 135/360 * 37.68

    length of arc = 3/8 * 37.68

    length of arc = (3 * 37.68) / 8

    length of arc = 113.04/8

    length of arc = 14.13

    The length of arc is 14.13 miles
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