In the figure shown a hole of radius $2\, cm$ is made in a semicircular disc of radius $6\pi$ at a distance $8 \,cm$ from the centre $C$ of the disc. The distance of the centre of mass of this system from point $C$ is  ......... $cm$.

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  • A

    $4$

  • B

    $8$

  • C

    $6$

  • D

    $12$

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