I wondered, is it also a coincidence that the moon is just the right size and distance to block the sun during solar eclipses? It seems like it must be a very good match if we can still see the corona but not see the sun itself.
Yes. There’s no physical reason why the Moon must be the size it is. We jsut happen to be around when the right combination of the Moon’s diameter and distance from us makes it appear to be roughly the same apparent diameter as the Sun. Even so, it’s not always a perfect fit. Because of the shape of its orbit, sometimes the Moon is closer and sometimes it is farther away, so that some eclipses are more total than others. At some point, as the Moon recedes from us, it will never again appear large enough to completely cover the Sun anymore.
Of course, the moon sometimes isn’t big enough to completely cover the sun, even now. If the “total” eclipse happens when the moon is too far from the Earth to completely cover the sun, you get an annular (“ring-shaped”) eclipse. (Cool photo of annular eclipse)
There’s a couple of annular eclipses next year, in South America (actually a hybrid total/annular, but annular on land) and Spain/Africa.