Define centre of mass. 

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In general form what are the coordinates of centre of mass of a rigid body.

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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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