FYI, the bent arch is catenary.
I was never able to find an easy calculator that let me change the length and width to get the height. If you find one please post it.
For my portable isolation coop, I cut the length down to the include 19 lines. With 8" spaced mesh, that should be 144" in total length - 12'. At 48" wide, the arch measures 64" high.
That's not high enough to stand under, but might help you figure out what you want to do.
My regular run...