A stone is dropped into a quiet lake and waves P move in circles sp...
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A stone is dropped into a quiet lake and waves
P move in circles spreading out radially at the
W speed of \( 5 \mathrm{~cm} / \mathrm{s} \). At the instant when the radius of the circular wave is \( 8 \mathrm{~cm} \), how fast is the enclosed area increasing?
(1) \( 80 \pi \mathrm{cm}^{2} / \mathrm{s} \)
(2) \( 90 \pi \mathrm{cm}^{2} / \mathrm{s} \)
(3) \( 85 \pi \mathrm{cm}^{2} / \mathrm{s} \)
(4) \( 40 \pi \mathrm{cm}^{2} / \mathrm{s} \)
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