Circle conditions

  • Thread starter phymatter
  • Start date
  • #1
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Main Question or Discussion Point

the general equation of a circle has 3 constants , so it is said that 3 conditions , like 3 points (on the circle) are required to specify a circle , but , we require only the center and radius to specify a circle , so how many conditions are actually required ??
 

Answers and Replies

  • #2
hotvette
Homework Helper
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The center is two pieces of information, an x-coordinate and a y-coordinate, thus three total. If you have x-y coordinates of 3 points, you can write 3 equations with 3 unknowns and solve for the radius and the coordinates of the center.

See this thread:

https://www.physicsforums.com/showthread.php?t=24014
 

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