Find Radius and Circle Centre From Two Points on Circumference

[imk]

Hello,
Is it possible to find the Arc Length and Circle Radius from Two points on the circumference?
I guess if possible you can also calculate the Circle Center.

I ask as I am writing a wheeled robot app and wish to compute the steering radius and distance from point 0,0 to some distant point.
I know the direction Port or Starboard, but is it possible the determine the steering Radius and Arc distance.
Some seem to say it is and other say I need three points.

Please see attached sketch where robot is at xy1 and xy2 is the middle of gap I wish the robot to pass thru.

Many thanks in advance imk

 

[imk]

After much thinking it is not possible as only two point resolves to an infinite number of circle.

 

[Dr.Peterson]

It is possible if you know not only the starting and ending point, but also the initial direction -- that is, a tangent line (or vector) at the initial point. It looks as if you do.

In that case, intersect a line perpendicular to that initial vector, and the perpendicular bisector of the segment from initial to final point.

 

[imk]

That is true insight Dr Peterson
My math is not great but now i see it, the initial angle is like having a third point
Many thanks imk