I did so. Since the process must be repeated, that will be time consuming but as you said and I thought, there seems to be no other way. Thank you for the answer.
Yes, the coordinates of the two points and the length of the arc between them are known. The solution that I get contains trigonometric identities. I can write it if you are curious, but what I need is an equation that is solvable by elementary methods.
Thank you for the reply but as you did not use the length of the arc it is impossible to reach a solution by your way. Actually there are number of mistakes but I am sure you can notice them at a second glance. Again thank you for your effort.
Unfortunately, yes they are arbitrary.
How can I find the radius of a circle by knowing two points and its arc length? Do I have to use a numerical method to solve for a trigonometric equation or is there any algebraic or geometric method?