2 triangles which both have their vertices on the same circle with radius r are randomly picked. What is the average area formed by the 2 triangles overlapping? For example, the 2 triangles can not overlap at all or overlap each other completely. If they share only a vertex or a side, they don't count as overlapping each other. This came up as a "shower thought" and I have no idea where to even begin to solve it...
2026-04-03 18:41:55.1775241715
Average overlapping area of 2 triangles on a circle
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