The formula for the area of a circle is $\pi r^2$, where $r$ is the radius of the circle. In this case, the radius is given as $2.0 \, \text{cm}$, but we need to convert it to meters, so $r = 0.02 \, \text{m}$. Therefore, the area $A$ of the coil is:
\[A = \pi r^2
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