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23 November, 20:52

Find the exact area of a circle having the given circumference.

4 (sqrt3 PI) ... ?

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  1. 23 November, 21:40
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    The solution to the problem is as follows:

    since C = 2*pi*r = 4sqrt (3) * pi:

    r = C/2*pi = 4sqrt (3) * pi / 2 * pi = 2sqrt (3)

    Therefore, to solve for Area:

    Area = pi*r^2 = pi * (2sqrt (3)) ^2 = 12pi

    The area is 12pi.
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