How Can I Find the Centre Point of a Circle with Given Coordinates and Radius?

[bikermart]

given the x,y coordinates of two points and the radius of a curve. has anyone got a formula for calculating the coordinates of the centre point please

 

[Hootenanny]

Welcome to Physics Forums.

given the x,y coordinates of two points and the radius of a curve. has anyone got a formula for calculating the coordinates of the centre point please

One can simply use the general equation for a circle in Cartesian coordinates.

 

[bikermart]

which is ?

 

[Hootenanny]

http://en.wikipedia.org/wiki/Circle#Equations

 

[bikermart]

thats great thanks but that give me two simultaneous equations to work out.
i might be being lazy here but has anyone trawled out the formula such that given x1,y1,x2,y2 and r then a= and b= so i can just stick them in my program.
cheers.

 

[Hootenanny]

thats great thanks but that give me two simultaneous equations to work out.

Indeed it does. But they are not difficult.