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26 November, 01:15

What is the area of a circle if the circumference is 16 pi cm

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  1. 26 November, 01:37
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    Answer:64pi

    Step-by-step explanation:

    Circumference (c) = 16pi

    Circumference (c) = 2 x pi x radius (r)

    Substituting we get

    16pi=2 x pi x r

    Divide both sides by 2pi

    16pi/2pi = (2xpixr) / 2pi

    8=r

    Radius (r) = 8cm

    Area (a) = pi x r^2

    a=pi x 8^2

    a=64pi

    Therefore area of the circle=64pi
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