Curved fences increase the attractiveness of a fence line and can solve some tricky layout problems. They can skirt trees, large rocks, and other obstructions. Round corners can help a fenced area seem less cramped.
Curved fences have some structural limitations, however. They’re difficult to construct between post spans shorter than 4 feet or longer than 6 feet, they need at least three posts, and the infill has to be narrow, especially in tight curves. Even if you draw the curve precisely on your final plan, you may need to change it to fit the realities of the actual location.
When you set the posts, note their orientation; for most infill styles the post faces should fall on the arc line.