Question

Asked Mar 16, 2019

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A circle has a radius that is increasing at a rate of 9/π feet per second. What is the rate of change of the area of the circle when the radius is 3 feet? (Do not include the units in your answer.)

Step 1

Given radius is increasing at a rate 9/π feet per second. we need to find the rate of change of area when radius is 3 feet.

We know A = π*r2, now differentiating area function with time using chain rule as shown below we get the following

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