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22 March, 03:08

In a circle with a radius of 3635 cm, an arc is intercepted by a central angle of 2π7 radians. What is the arc length? Use 3.14 for π and round your final answer to the nearest hundredth.

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  1. 22 March, 03:37
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    The arc length will be found using the formula:

    C=θ/360πd

    θ=2/7π=2/7*180=51 3/7°

    d=2r=2*3635=7270 cm

    hence the arc length will be:

    C = (51 3/7) / 360*π*7270

    C = (1038+4/7) π cm

    C=3,262.78 cm (to the nearest hundreth)
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