A circular disc of radius b has a hole of radius a at its centre (see figure) if the mass per unit area of the disc varies as `((sigma_(0))/(r))` then the radius of gyration of the disc about its axis passing through the centre is
A
`sqrt((a^(2)+b^(2)+ab)/(2))`
B
`(a+b)/(2)`
C
`sqrt((a^(2)+b^(2)+ab)/(3))`
D
`(a+b)/(3)`
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The correct Answer is:
A
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