Q4 of 26 Page 1

Using derivative, find the approximate percentage increase in the area of a circle if its radius is increased by 2 %.

Given data: The radius r is increased by 2 %


That is,



Calculation:


Area of the circle,


A=πr2


Differentiating with respect to radius r



⇒ dA = 2πrdr


Percentage change in area




= 2×2 %


= 4 %


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