Answer :

We know that area of a circle (A) is A = πr2

Then, Rate of change of the area with respect to time (t) is given by,


……………….. by chain rule


It is given that



Then,


Thus, when r = 8cm


Then


Therefore, when the radius of the circular wave is 8 cm, how fast is the enclosed area increasing is 80π cm2/s.


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