A circular disc of radius \( r \) has a uniform thickness. A \( \mathrm{P} \) circular hole of d...

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A circular disc of radius \( r \) has a uniform thickness. A
\( \mathrm{P} \) circular hole of diameter equal to the radius of the

W disc has been cut out as shown. The centre of gravity of the remaining disc lies on the diameter of the disc at a distance \( x \) to the left of the centre of the original disc. The value of \( x \) is
(1) \( r \)
(2) \( \frac{r}{2} \)
(3) \( \frac{r}{4} \)
(4) \( \frac{r}{6} \)
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