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Product of distances of n-gon inscribed in unit circle

What's the product of the distances from one vertex to the other vertices of a regular n-gon inscribed in a unit circle? The diagonals and two sides have been colored blue. Drag the n-slider to change the number of sides of the n-gon. Drag the b-slider (at the bottom) to change the number of blue segments getting multiplied. What do you notice about the product of the blue segments?