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Question

The radius of a circle is increasing at the rate of 0.5 cm/sec. Find the rate of increase of its circumference.

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Solution

Let r be the radius and C be the circumference of the circle at any time t. Then, C=2πrdCdt=2πdrdtdCdt=2π×0.5 drdt=0.5 cm/sec dCdt=π cm/sec

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