nostr:nprofile1qy2hwumn8ghj7un9d3shjtnyd968gmewwp6kyqpqt76as6gjr7pzg0taz40e55smjjegmj89ud7g056aqed90hs7cynstsck2y no point, just curious. so do i understand correctly, the average is not a great circl...
@nprofile1q...
If we define the radius of a circle on a sphere as being the minimum of the two possible choices (i.e. we always choose the radius that is at most π/2) then the average will be less than π/2, i.e. 7/6.
We *could* pose the question in a different way that made a great circle the average, but if we actually pick 3 random points and always choose the smaller radius, we get 7/6.
If we define the radius of a circle on a sphere as being the minimum of the two possible choices (i.e. we always choose the radius that is at most π/2) then the average will be less than π/2, i.e. 7/6.
We *could* pose the question in a different way that made a great circle the average, but if we actually pick 3 random points and always choose the smaller radius, we get 7/6.