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5 October, 09:26

Find the rate of change of the area of a circle with respect to the radius r. What is the rate when r=11?

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  1. 5 October, 12:59
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    Area, A = pi (r^2)

    To find rate of change, we differentiate area with respect to the radius,

    rate of change = dA/dr = 2 pi (r)

    At r=11, rate of change = 2 pi (r) = 2 pi (11) = 22 pi = 69.1
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