Method to calculate the area of a cyclic n-gon

The area of a cyclic quadriateral, given the side lengths, is given as follows: $$ \sqrt{(s-a)(s-b)(s-c)(s-d)} $$

I want to find a similar expression, or a way of formulating an expression for a cyclic $n-gon$ given it's sides, since I want to implement it in a program.

not constructive

This question cannot be answered in a way that is helpful to anyone. It's not possible to learn something from possible answers, except for the solution for the specific problem of the asker.

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These may help: https://doi.org/10.1007/11615798_4 , https://arxiv.org/abs/math/0407300 — msh210‭ 8 months ago

A cyclic $n$-gon can be broken into a bunch of disjoint cyclic triangles / quadrilaterals. This observation gives a simple algorithm to calculate the area of a cyclic $n$-gon. Note: this approach requires determining lengths of chords between vertices. — gramps‭ 5 months ago

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Method to calculate the area of a cyclic n-gon

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