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18 September, 05:23

A bicycle wheel with radius 26" rotates through an arc that measures 80°. What is the length of the arc of the tire that touched the ground? 2.88 inches 5.78 inches 11.56 inches

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  1. 18 September, 07:40
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    11.56π inches.

    Explanation:

    arc length = (θ/360°) * (2*π*R)

    where:

    θ = angle of the arc in degrees

    R = the radius of the arc

    π = approximately 3.142

    Recall that 2πR is the circumference of a circle,

    Therefore,

    θ = 80°

    R = 26 inches

    = (80/360) * (2*π*26)

    = (104/9) * π inches

    = 11.56π inches.
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