$S_1$ and $S_2$ are two concentric circles of radii $1$ and $2$ respectively. Two parallel tangents to $S_1$ cut off an arc from $S_2$. The length of the arc is

  • A

    $\frac{\pi }{2}$

  • B

    $\frac{2\pi }{3}$

  • C

    $\frac{3\pi }{4}$

  • D

    $\frac{\pi }{4}$

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