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