This would be a the best topology in this case. The closer a triangle is to equilateral, the more optimal it is. Your second example would still be triangulated to similar shaped long tris as the fan topology.
@FourtyNights I use tri fans myself without issues. The example above was merely from a technical point of view, which OP seemed to want. However, even though we can throw a lot of verts around these days, we often only consider AAA and forget about the whole lower-end game dev end of things with strict restrictions, when…