The radius of gyration of a uniform disc about a line perpendicular to the disc is equal to its radius. Find the distance of the line from the centre of the disc.

Explanation

Radius of the disc = R
Radius of gyration = K
`I=I_(G)=Md^(2)`
`MK^(2)=(MR^(2))/(2)+Md^(2) rArr K^(2) =(R^(2))/(2)+d^(2)`
`(R^(2))/(2)=d^(2) rArr "distance" d= (R )/(sqrt(2))`