It is true that the moment of inertia of a hoop that has a mass and a radius is greater than the moment of inertia of a disk that has the same mass and radius.
Lower moments of inertia signify that only small forces are required to create a rotation, whereas higher moments of inertia mean that greater force must be used. The masses with the largest moment of inertia are those that reside furthest from the axis of rotation.
Due to the fact that a ring's center of mass is located on an axis that is perpendicular to its plane and passes through it, a ring has a higher moment of inertia than that of a circular disc of equal mass and radius. Because all of a ring's mass has been concentrated at the rim, which is furthest from the axis, which has a greater moment of inertia.
Therefore, the given statement is true.
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