The ratio of radii of gyration of a thin circular ring and a circular disc of same radius about a tangential axis in their own planes is $\sqrt{12}:\sqrt{K}$. The value of K is
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To find the moment of inertia about an axis, first identify a standard axis (like one through the center of mass). Then, use the parallel axis theorem ($I = I_{cm} + Md^2$) or the perpendicular axis theorem ($I_z = I_x + I_y$) to shift to the required axis.