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30 September, 00:55

A circle has a radius of 13in. find the radian measure of the central angle θ that intercepts an arc of length 5in

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  1. 30 September, 01:03
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    The radius of the circle is 13 in, therefore the circumference is

    2π (13) = 26π in.

    The central angle of the circle is 2π rad.

    The arc has a length of 5 in.

    If the central angle of the arc is θ rad, then

    13θ = 5

    θ = 5/13 = 0.385 rad

    Answer: θ = 0.385 rad
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