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A circle has a radius of 3 centimeters. The radius of the circle then begins to increase at a rate of 0.1 centimeters per second. After 2 minutes, how much has the area changed by?

$36 \pi \text{ cm}^2$

$45 \pi \text{ cm}^2$

$72 \pi \text{ cm}^2$

$135 \pi \text{ cm}^2$

$216 \pi \text{ cm}^2$