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Question -

Find the rate of change of the area of acircle with respect to its radius r when

(a) r =3 cm (b) r =4 cm



Answer -

The area of a circle (A)with radius (r) isgiven by,

Now, the rate of change ofthe area with respect to its radius is given by, 

When r = 3 cm,

Hence, the area of the circle is changing at the rate of6Ï€ cm when its radius is 3 cm.

When r = 4 cm,

Hence, the area of the circle is changing at the rate of8Ï€ cm when its radius is 4 cm.

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