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  • If the radius of the circle is increasing at the rate of 0·5 cm/s, then the rate of increase of its circumference is _____________ .  

If the radius of the circle is increasing at the rate of 0·5 cm/s, then the rate of increase of its circumference is _____________ .

 

Answers (1)

\frac{dr}{dt} = 0.5\ cm/s

\\$Circumference S $ = 2 \pi r \\ \frac{dS}{dt } = 2 \pi \frac{dr}{dt} = 2 \pi \times 0.5\ = \pi \ cm/s

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