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14 September, 08:32

What is the length of an arc with a central angle of 23π radians and a radius of 24 cm?

Use 3.14 for pi. Round to the nearest hundredth, if necessary.

Enter your answer as a decimal in the box.

cm

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  1. 14 September, 09:01
    0
    We can solve for the arc length using the formula shown below:

    Arc Lenght = 2pi*r (central angle/360)

    We need to convert the central angle such as:

    Central angle = 23pi rad * (180°/pi rad) = 23*180

    Radius = 24cm

    Solving for arc length:

    Arc length = 2*3.14 * 24 * (23*180/360)

    Arc length = 1733.28 cm
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