A circular disc of radius \( \mathrm{R} \) is removed from a bigger circular disc of radius \( 2....

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A circular disc of radius \( \mathrm{R} \) is removed from a bigger circular disc of radius \( 2 \mathrm{R} \) such that the
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circumferences of the discs coincide. The centre of mass of the new disc is \( \alpha \mathrm{R} \) distance from the centre of the bigger disc. The value of \( \alpha \) is :
(1) \( 1 / 3 \)
(2) \( 1 / 2 \)
(3) \( 1 / 6 \)
(4) \( 1 / 4 \)


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