All of the “woven wire” type of fencing, including hog wire, horse wire, goat and lamb wire, orchard wire, are exactly what the name implies; the horizontal and vertical wires are actually woven around each other to create a very strong fabric.
The “welded wire” type of fencing have the horizontal and vertical wire simply laying across each other with a weld at the junction holding them together. This weld is easily broken and the wire itself used in the production of welded wire fence fabric is of a thin gage that will be cut in half if hit by a power weed trimmer.
Woven wire cost approx. $50 per 100 linear feet more than welded wire, but if you have a situation where you will want to cut the grass along the fence line, you should consider the heavier more expensive woven wire fence products.