draw circle through two given points in plot

Question

Josefina Ottitsch 2019-4-3

回答： the cyclist 2019-4-3

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 2019-4-3

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.