mersenneforum.org Circle intersection points
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 2006-11-27, 03:12 #1 Mini-Geek Account Deleted     "Tim Sorbera" Aug 2006 San Antonio, TX USA 10000101010112 Posts Circle intersection points How do you calculate precisely where the point where two circles intersect such that the very left side of the second circle is the center point of the first circle? (the red dots on the rightmost set of circles in this image, also comparable to a few circles from a Flower of Life) p.s. I don't know the answer.
2006-11-27, 03:20   #2
drew

Jun 2005

38210 Posts

Quote:
 Originally Posted by Mini-Geek How do you calculate precisely where the point where two circles intersect such that the very left side of the second circle is the center point of the first circle? (the red dots on the rightmost set of circles in this image, also comparable to a few circles from a Flower of Life) p.s. I don't know the answer.
You use the Pythagorean theorem.

y2 = r2 - x2

r = radius of the circles
x = distance of circle centers from origin...or half the distance between their centers.
y = displacement of intersection from the line that joins the two centers.

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