draw circle through two given points in plot

Hello

I have the following code

close all
x = -pi:0.01:pi;
a=sin(x)
plot(x,a)
hold all
plot(1,sin(1),'o')
plot(2,sin(2),'o')

I want my program to draw a circle between the two points, given in the program, using the least squares fitting method.

How do I draw a circle between two points (without knowing radius or middlepoint) ?

thank you so much!

Answer 1

[the cyclist]

In general, there are an infinite number of circles that pass through two given points.

If you don't care which one, then one possible algorithm is to

• for the center of the circle, find the midpoint of the line segment that connects the two points
• for the radius, use the distance from that midpoint to one of the points

It is easy to find formulas for these two steps.