Is there a formula to calculate the dimensions of the arcs on a flat piece of paper needed to form a parabolic dish?

Say I was making a parabolic dish out of cardboard segments, would there be a way to calculate the size of the segments needed to form a parabolic dish with specific dimensions?

2 answers

No
In ship building if building with plywood for example we draw what we call "developable surfaces" . Those are shapes that at all points only have curvature in one direction and you can draw a straight line along them in the other direction. You cannot bend a piece of plywood or paper around a surface with curvature in two directions. You will get a crease. You need to use a material you can mold like molten plastic or metal or cement or fiberglass.
PS
Try it with a piece of paper or plywood.