The parallel-axis theorem used for the moment of inertia for an area is applied between an axis passing through its centroid and any corresponding parallel axis.
According to the parallel axis theorem, a body's moment of inertia about any axis equals its moment of inertia about a parallel axis through its centre of mass plus the sum of its mass and the square of the perpendicular distance between its two parallel axes.
The parallel axis theorem enables us to calculate the moment of inertia for a rotating object whose axis is not parallel to its centre of mass. According to the parallel axis theorem, a body's moment of inertia about an axis that passes through its middle is equal to the product of the mass of the body times the square of the distance between the two axes and the moment of inertia of a body about the axis that passes through its middle.
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