Hi guys I have a problem to solve, I'd like to find the minimum distance between a point and a geometric locus described in closed form, for example the intersection of two circles:(adsbygoogle = window.adsbygoogle || []).push({});

p= point coordinate

p1= center coordinate circle 1

p2=center coordinate circle 2

r1=radius of circle 1

r2=radius of circle 2

|p1|^2-r1^2<0 (region inside circle 1)

|p2|^2-r2^2<0 (region inside circle 2)

how can i find an expression that gave me the minimum distance between p and the intersection of the two circles?

thank you in advance

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# Minimum distance between a point and a geometric locus

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