# Star Moment

Consider a regular star inscribed in a unit circle, as shown in the figure above. The star wireframe has a uniform linear mass density, and the total mass of the star is $$M$$.

If the moment of inertia of the star about the axis, passing through its center and perpendicular to its plane, can be expressed as $$\alpha M$$, determine the value of $$\alpha$$ to 3 decimal places.

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