If a planet revolves around the sun with an angular velocity $(\omega)$ and distance $(r)$,then the areal velocity of the planet is proportional to which of the following?

  • A
    $\frac{dA}{dt} \propto \omega r$
  • B
    $\frac{dA}{dt} \propto \omega^2 r$
  • C
    $\frac{dA}{dt} \propto \omega r^2$
  • D
    $\frac{dA}{dt} \propto \sqrt{\omega r}$

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