Quick question about finding distance between the centres of 2 circles?

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SUMMARY

To find the distance between the centers of two circles, first determine the centers by completing the square for each circle's equation. Once the centers are identified, apply the distance formula: d = √((x2 - x1)² + (y2 - y1)²). This method is confirmed as correct and essential for solving the problem presented.

PREREQUISITES
  • Understanding of circle equations and the method of completing the square.
  • Familiarity with the distance formula in coordinate geometry.
  • Basic algebra skills for manipulating equations.
  • Knowledge of Cartesian coordinates.
NEXT STEPS
  • Study the process of completing the square for different types of equations.
  • Practice using the distance formula with various coordinate pairs.
  • Explore applications of distance calculations in geometry and physics.
  • Review properties of circles and their equations in analytic geometry.
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Students studying geometry, mathematics educators, and anyone needing to understand the relationship between circle equations and distance calculations.

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Homework Statement



Lets say you have the equation of 2 circles ok, and it asks you to find the distance between the centres of the 2 circles. Is that what you do...?

1) Find the center of each circle by completing the sqaure.

2) Enter those 2 centres into a distance formula: d = √(x2-x1)^2 + (y2-y1)^2

Is that it?



Homework Equations





The Attempt at a Solution

 
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nukeman said:

Homework Statement



Lets say you have the equation of 2 circles ok, and it asks you to find the distance between the centres of the 2 circles. Is that what you do...?

1) Find the center of each circle by completing the sqaure.

2) Enter those 2 centres into a distance formula: d = √(x2-x1)^2 + (y2-y1)^2

Is that it?
Yes.
 
nukeman said:


2) Enter those 2 centres into a distance formula: d = √(x2-x1)^2 + (y2-y1)^2



Not sure if you typed it wrong or not. Just to clarify, the equation is: √((X2-X1)2+(Y2-Y1)2)
 

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