The radius of a circle is proportional to its diameter. Find the constant of proportionality.

$\frac{1}{2}$

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$2 π$

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$π$

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Solution

We know that, $R a d i u s = \frac{1}{2} D i a m e t e r$ and hence has a constant of proportionality equal to $\frac{1}{2}$ .

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Spherical rain drop evaporates at a rate proportional to its surface area . The differential equation corresponding to the rate of change of the radius of the rain drop if the constant of proportionality is K > 0 is

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r = 20, M = 0.6

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