Take the 2-minute tour ×
Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. It's 100% free, no registration required.

how to find the center of an arc given start and end points

share|improve this question
6  
@user3310: An arc of a circle is defined by three non-colinear points. –  Américo Tavares Nov 9 '10 at 14:58
    
Another way of phrasing Américo's statement: you can't determine a radius from just start and end points. –  J. M. Nov 9 '10 at 15:34
add comment

1 Answer 1

circles through 2 points

As Américo Tavares and J. M. said in their comments, two points do not uniquely determine an arc. Shown above are several circles that pass through two given points. However, the center of any circle that passes through those two points is on the perpendicular bisector of the line segment with those points as endpoints.

share|improve this answer
1  
Did those circles just move? ;-) –  Aryabhata Nov 10 '10 at 22:49
add comment

Your Answer

 
discard

By posting your answer, you agree to the privacy policy and terms of service.