# How can I find the top and bottom most point from the intersection of three circles?

I have three circles with equal radius ($$r$$). I want to formulate the bottom and topmost point of their intersection as a function of $$r$$.

• The distance will also depend heavily on the circles centers. – Michael Hoppe Dec 13 '18 at 18:56
• Yes. I also have the centers of the circles. I am trying to formulate the points (top and bottom) as a function of radius and centers. – Rafi Dec 13 '18 at 18:59
• Would you like to share those centers with us? – Michael Hoppe Dec 13 '18 at 19:18
• consider the centers are (x1,y1), (x2,y2), (x3,y3). Actually, I want a generalized formula that works for all cases. – Rafi Dec 13 '18 at 19:35
• What you mean by top or bottom? seems like the y values could suffice to determine. – Moti Dec 15 '18 at 1:45