@amapanda largest in area? Are you allowed to cross the antimeridian? I think for circles this might involve Delaunay triangulation if my vague memories of lectures past are right (although that's flat). Might give you "candidates" you can expand from.
@InsertUser yeah you should be able to cross the antimeridian. I was trying brute force search, but that's too time consuming, and I think you're right, one'd need to use some sort of triangulation preprocessing to start looking
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