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} $ .