How to Calculate Moment of Inertia for Polygons in a 2D System?

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GINGERBEER said:
Sorry to comment on an old thread but i was just wondering why the ||\vec{P}_{n+1}\times\vec{P}_{n}|| is not canceled out in the equation seeing as it is in the numerator and denominator.

You can only cancel common factors in the numerator and denominator.

Just because a given term in the numerator happens to include a factor that is identical to a term in the numerator does not make this into a common factor.