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I have three circles in the following graph:

Graph

What I want to do is get the upper circle to touch the other two circles, like so:

Touching Circle

What is the graph equation for what I'm looking for (red circle)?

David G. Stork
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Coto
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  • By left-right symmetry, the center $(x_c,y_c)$ is of the form $(o, y_c)$ such that the distance from this center to either of the other centers is 2.0. Solve for $y_c$. Then the circle has equation: $x^2 + (y-y_c)^2 = 1$. – David G. Stork May 17 '17 at 15:55

1 Answers1

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$$x^2 + \left(y - \left(\sqrt{3}-1\right)\right)^2 = 1$$

gt6989b
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