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Question

A circular plate of radius $5 \, \text{cm}$ is heated. Due to expansion, its radius increases at the rate of $0.05 \, \text{cm/sec}$. The rate at which its area is increasing when the radius is $5.2 \, \text{cm}$ is

$5.05 \pi \, \text{cm}^2/\text{sec}$

$0.52 \pi \, \text{cm}^2/\text{sec}$

$5.2 \pi \, \text{cm}^2/\text{sec}$

$27.4 \pi \, \text{cm}^2/\text{sec}$

Solution

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