# Find the rate of change of the area of a circle per second with respect to its radius r when r = 5cm.

Note: we cannot calculate change per second because nothing is given about that is change of radius with respect to time

Area of circle (A) having radius r is given by A = πr2

Differentiate A with respect to r

As we have to find the rate of change when r = 5 cm put r = 5 cm

Hence the change in area with respect to radius is 10π cm2/cm

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