The radius of a circle is increasing at the rate of 0.7 cm/s. What is the rate of increase of its circumference?

We know that circumference of a circle (C) is C = 2πr

Then, Rate of change of circumference with respect to time (t) is given by,


……………….. by chain rule


It is given that



Then,


Therefore, the rate of increase of its circumference is 1.4π cm/s.


6