# Product of distances of n-gon inscribed in unit circle

- Author:
- Chip Rollinson

- Topic:
- Circle, Geometry, 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?