The rate of change of area of circle with respect to its radius r wherer r=6 is

Area of the circle =πr²

Step 1:Find the rate of change of the area with respect to time t.

dAdx= 2πr(derivative of xⁿ= nx^n-1)

Step 2:Put r = 6 cm.

dAdx= 2¶πr=2π(6)=12¶

Thanks and Regards

Shaik Aasif

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