The center height of the peel would be half the cylinder circumference.
The maximum height of the curves at each side of the center height, would be the same as the cylinders radius.
hmmm, I don't think the curves map to a scaled circle? no, not since the 'edges' will have a cut at the tip of 45+45 degrees and a scaled circle would have a continuos edge.
I wonder if not the curve maps on a graph from 45 degrees to 0 degrees as you hit the maximum curve height?
so that would be the derivative(?) of the function as y peaks at 1/4 of the circumference of the cylinder? (I rotated your diagram 90 degrees)
I'm sorry I'm totally algebraically illiterate... but yes, that is a solution.