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3 January, 17:25

N a circle with a radius of 2.8 cm, an arc is intercepted by a central angle of π5 radians. what is the arc length? use 3.14 for π and round your final answer to the nearest hundredth. enter your answer as a decimal in the box.

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  1. 3 January, 17:31
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    By definition, the arc length is given by:

    arc = (theta) * (R)

    Where,

    theta: central angle

    R: radius

    Substituting values we have:

    arc = (π / 5) * (2.8)

    Rewriting we have:

    arc = ((3.14) / 5) * (2.8)

    arc = 1.7584 cm

    Round to the hundredth:

    arc = 1.76 cm

    Answer:

    the arc length is:

    arc = 1.76 cm
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