Answer :

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


Then, Rate of change of the area with respect to its radius is given by,



When r = 3cm


Then


Therefore, the area of the circle is changing at the rate of 6πcm2/s when its radius is 3cm.


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


Then, Rate of change of the area with respect to its radius is given by,



When r = 4cm


Then


Therefore, the area of the circle is changing at the rate of 8πcm2/s when its radius is 4cm.


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