A circular disc of radius \( 4 \mathrm{~cm} \) is being heated. Due to expansion, its radius inc....

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A circular disc of radius \( 4 \mathrm{~cm} \) is being heated. Due to
\( \mathrm{P} \)
expansion, its radius increases at the rate of \( 0.02 \mathrm{~cm} / \mathrm{s} \). Find the rate at which its area is increasing when radius is \( 5 \mathrm{~cm} \).
(1) \( 0.1 \pi \mathrm{cm}^{2} / \mathrm{s} \)
(2) \( 0.2 \pi \mathrm{cm}^{2} / \mathrm{s} \)
(3) \( 0.3 \pi \mathrm{cm}^{2} / \mathrm{s} \)
(4) \( 0.4 \pi \mathrm{cm}^{2} / \mathrm{s} \)


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