I have never even heard of using a car battery... I really don't know if I would trust a car battery to supply enough juice to keep the fence charged without an alternating current.
We use 110s and they work fine for solar, easily covers about 500 acres a pop.
Corrals have cattle panel and barded wire with sheep panel for the feedyards.
It's one steer, maybe 2? These are steers not bulls or cows; they really aren't going to be interested in much other than eating; it it were a cow/calf pair or a bull, or an area where they will end up being g worked or corralled, more secure fencing will be needed.