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

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Discussion Overview

The discussion revolves around finding the center point of a circle given the coordinates of two points and the radius. Participants explore potential formulas and methods for calculating these coordinates, focusing on the mathematical approach involved.

Discussion Character

  • Technical explanation, Mathematical reasoning, Homework-related

Main Points Raised

  • One participant asks for a formula to calculate the center point of a circle based on given coordinates and radius.
  • Another participant suggests using the general equation for a circle in Cartesian coordinates.
  • A subsequent participant requests clarification on the specific equation being referenced.
  • There is a mention of the challenge of solving two simultaneous equations that arise from the general equation.
  • One participant expresses a desire for a direct formula that can be easily implemented in a program, indicating a preference for simplicity.
  • Another participant acknowledges the simultaneous equations but asserts that they are not difficult to solve.

Areas of Agreement / Disagreement

The discussion does not reach a consensus on a specific formula or method, and multiple viewpoints regarding the complexity of the equations and the desire for a simpler solution remain evident.

Contextual Notes

Participants express varying levels of comfort with the mathematical complexity involved, highlighting a potential limitation in the clarity of the equations derived from the general circle equation.

bikermart
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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
 
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bikermart said:
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.
 
which is ?
 
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.
 
bikermart said:
thats great thanks but that give me two simultaneous equations to work out.
Indeed it does. But they are not difficult.
 

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