the moment of inertia of a ring of mass m and radius r about pq axis
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By using perpendicular axis theorem,
{I_{zz}} = {I_{xx}} + {I_{yy}}I
zz=I xx +I yy
about diameter so {I_{xx}} = {I_{yy}}I xx =I yy
so {I_{zz}} = 2 {I{xx}}I
zz=2Ixx
so moment of inertia about diameter {I_{xx}} = \dfrac {I_{zz}}{2}I
xx = 2I zz
so let moment of inertia about z axis be I
in that case answer will be I/2.
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