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

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DIn summary, to find the distance between the centers of two circles, you must first find the center of each circle by completing the square. Then, you can use the distance formula d = √((x2-x1)^2 + (y2-y1)^2) to calculate the distance between the two centers.
  • #1
nukeman
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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?



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The Attempt at a Solution

 
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  • #2
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.
 
  • #3
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)
 

1. How do you find the distance between the centers of two circles?

To find the distance between the centers of two circles, you need to first identify the coordinates of each circle's center point. Then, use the distance formula, which is d = √((x2-x1)^2 + (y2-y1)^2), where (x1,y1) and (x2,y2) are the coordinates of the two center points. This will give you the straight-line distance between the two centers.

2. Can you use the Pythagorean Theorem to find the distance between two circle centers?

Yes, the distance formula used to find the distance between two circle centers is derived from the Pythagorean Theorem.

3. What if the two circles intersect? How do you find the distance between their centers?

If the two circles intersect, you can still use the distance formula to find the straight-line distance between their centers. However, this distance may not accurately represent the distance between the two circles, as they may be touching or overlapping at one or more points.

4. Can you find the distance between two circles if you only have their radii and not their center points?

No, the distance between two circles is dependent on the coordinates of their center points. Without this information, it is not possible to accurately calculate the distance between the two circles.

5. Is the distance between two circles always the same, regardless of their sizes?

No, the distance between two circles will vary depending on the coordinates of their center points. The sizes of the circles can also affect the distance, as larger circles will have a greater distance between their centers compared to smaller circles.

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