The perimeter of a certain sector of a circle is equal to the length of the arc of the semicircle. Then,the angle at the centre of the sector in radians is

  • A
    $\pi-2$
  • B
    $\pi+2$
  • C
    $\frac{\pi}{3}$
  • D
    $\frac{2 \pi}{3}$

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