The radius of a circle is increasing at the rate of $2 \text{ cm/sec}$. The rate at which its area is increasing when the radius of the circle is $5 \text{ decimeters}$ is:

  • A
    $100 \pi \text{ cm}^2/\text{sec}$
  • B
    $200 \pi \text{ cm}^2/\text{sec}$
  • C
    $2000 \pi \text{ cm}^2/\text{sec}$
  • D
    $20 \pi \text{ cm}^2/\text{sec}$

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