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The Radius of a Circle is Increasing at the Rate of 0.7 Cm/S. What is the Rate of Increase of Its Circumference? - CBSE (Science) Class 12 - Mathematics

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Question

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

Solution

The circumference of a circle (C) with radius (r) is given by

C = 2πr.

Therefore, the rate of change of circumference (C) with respect to time (t) is given by,

Hence, the rate of increase of the circumference  is `2pi(0.7) = 1.4 pi "cm/s"`

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APPEARS IN

 NCERT Solution for Mathematics Textbook for Class 12 (2018 to Current)
Chapter 6: Application of Derivatives
Q: 6 | Page no. 198
Solution The Radius of a Circle is Increasing at the Rate of 0.7 Cm/S. What is the Rate of Increase of Its Circumference? Concept: Rate of Change of Bodies Or Quantities.
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