Applications Of Derivatives Question 376

Question: If the radius of a circle increases from 3 cm to 3.2 cm, then the increase in the area of the circle is

Options:

A) $ 1.2\pi cm^{2} $

B) $ 12\pi cm^{2} $

C) $ 6\pi cm^{2} $

D) None of these

Show Answer

Answer:

Correct Answer: A

Solution:

We know that area of a circle is $ A=\pi R^{2} $

$ \therefore \frac{dA}{dt}=2\pi R\frac{dR}{dt}=1.2\pi cm^{2} $ .