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A stone is dropped into a quiet lake and...

A stone is dropped into a quiet lake and waves move in circles spreading out radially at the speed of `0.5m//s`. At the instant when the radius of the circular wave is `(4)/(pi)` m, how fast is the enclosed area (in`m^(2//s)`) increasing ?

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The correct Answer is:
`4(m^(2))/(5)`
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