Find point on circle

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Hey Guys! So lately I have been wrestling with a problem. I have been trying to find an answer for a while now and sadly all I have found didn't really help. So basically what I want to achieve is to find a point (U) on a circle via a given center-point (M) (2/4 in this picture) (tho can be everything), and a given point p (3/6), this point may also vary. The radius of the circle (r) is also given (here r = 1). I have figured that if I just subtract p by m I get the direction vector 'MP' and then just multiply this by the radius to get 'U', but that's obviously wrong teardrop. Does anyone have an idea on how to fix my problem? Much love and thanks in regards ~ Julian

Answer 1

Answer by Captain_Pineapple · Feb 28 at 02:59 PM

You are in general on the correct path. What you are missing in your calculation is that you need to normalize the vector you get.

   PointOnCircle = (P -M).normalized * Radius;

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Bunny83 · Feb 28 at 03:21 PM 1

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Note that this would give you a relative point, relative to the circle center "M".

 PointOnCircle = (P -M).normalized * Radius;

To get the absolute point projected onto the circle you have to re-add the center

 PointOnCircle = (P - M).normalized * Radius + M;

Captain_Pineapple Bunny83 · Feb 28 at 06:51 PM 0

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as always abslutely correct. My bad for missing that.

Find point on circle

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