Bryn Posted June 3, 2004 Share Posted June 3, 2004 Is the line from the centre of a circle to the midpoint of chord AB always perpendicular to AB? Link to comment Share on other sites More sharing options...
Dave Posted June 3, 2004 Share Posted June 3, 2004 I believe so, although I can't remember proving it. I think a simple(ish) proof would just be to extend the line to become a radius. Then you know the tangent to the circle at that point is perpendicular and the tangent should be perpendicular to the chord since it passes through the midpoint. Link to comment Share on other sites More sharing options...
YT2095 Posted June 3, 2004 Share Posted June 3, 2004 I gather these aren`t Chords as in a combination of frequencies used in music? Link to comment Share on other sites More sharing options...
Dave Posted June 3, 2004 Share Posted June 3, 2004 No, a chord on a circle is line AB such that A and B lie on the circumference of the circle. Link to comment Share on other sites More sharing options...
YT2095 Posted June 3, 2004 Share Posted June 3, 2004 ok dokey, just thought I`de ask Link to comment Share on other sites More sharing options...
kjitta Posted June 4, 2004 Share Posted June 4, 2004 Yes, the midpoint on a chord is the point closest to the centre, therefore a line joining the two points will be perpendicular to the chord. Link to comment Share on other sites More sharing options...
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