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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syrenseagraves syrenseagraves

04-07-2017
Mathematics

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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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mathmate mathmate · Answer 1 · 2017-07-04T03:26:38+02:00

mathmate mathmate

04-07-2017

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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