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If the area of a circle increases at a u...

If the area of a circle increases at a uniform rate, then prove that perimeter varies inversely as the radius.

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(i) The radius of a circle is increasing at the rate of 5 cm/sec. Find the rate of increasing of its perimeter. (ii) If the area of a circle increases at a constant rate, then show that the rate of increase of its circumference is inversely proportional to its radius.

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