in a way, solid angles represent a relative measurement that we can then scale to various radii. And therefore see the impacts of lighting and shading from farther away.
So as we increase our radius, the light coming from in this case the soccer field will look larger as it takes some proportion of the area. This 'solid angle' stays constant, but the physical area grows as radius grows.
Celestial bodies exhibit such a small solid angle on us. I wish we had planets closer to us with much larger solid angles.
The center of the milky way is quite massive when looked at in an area with no light polution. What is it's solid angle? I thing it might be close to a whole hemisphere or half a hemisphere, I estimate pi.