The radius of a circle is increasing at ...

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

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Let x be the radius, s be the circumference of the circle at time t. Then `s=2pix`rArr(ds)/(dt)=2pi(dx)/(dt)=2pixx0.7=1.4pi` Hence, the required rate `=1.4picm//s`

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