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18 February, 08:57

Find the length of an arc of an 8" radius circle if the arc measures 45 degrees. 2pi, 8pi, 16pi

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  1. 18 February, 12:54
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    To find the length of the arc, we will use the formula,

    arc length = 2πR (C/360)

    where,

    R is the radius of the arc, which is 8"C is the central angle, which is 45°

    pi is approximately equivalent to 3.14

    Applying the formula, arc length = 2πR (C/360)

    arc length = 2 (3.14) R (45°/360)

    arc length = (6.28) (8") x (0.125)

    arc length = (50.24") (0.125)

    arc length = 6.28"

    The length of the arc is 6.28". 6.28 is also equivalent to 2π, hence, the answer is 2π.
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