The Total solution for NCERT class 6-12
The radius of a circle is increasing at the rate of 0.7cm/s. What is the rate of increase of its circumference?
The circumference of a circle (C)with radius (r) isgiven by
C = 2πr.
Therefore, the rate of change of circumference (C) withrespect to time (t) isgiven by,
(By chain rule)
It is given that
Hence, the rate of increaseof the circumference