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24 September, 08:27

The area of a circle is 36π. What is the length of a diameter of the circle?

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  1. 24 September, 10:48
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    d = 12

    Step-by-step explanation:

    The area of a circle is given by

    A = pi r^2

    Substituting what we know

    36 pi = pi r^2

    Divide each side by pi

    36 pi/pi = pi r^2/pi

    36 = r^2

    Taking the square root of each side

    sqrt (35) = sqrt (r^2)

    6 = r

    We want the diameter

    d = 2r

    d = 2 (6)

    d = 12
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