Finding the curvature of a line.

Question

Lets say I have a single curve segment with a known height (difference between the lowest points of the curve and the highest point of the curve) and length (difference between the leftmost and rightmost sides). How do I find out the diameter of the circle or ellipse that would align to that curve for it's entire length? Also how would I determine the distance from the center of that circle to the top of the curve? I do not know any calculus but I am pretty good with linear algebra.

Answer 1

I found the answer I was looking for http://www.mathopenref.com/arcradius.html

The Arc Radius is what I wanted. How do I determine the distance from the center of the circle to the bottom of the curve? Is it just the Arc Radius minus the height of the curve?