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Math
Geometry
Circles in Geometry
Advanced Circles and Constructions
Chord, Secant, and Tangent Properties
Two Distinct Circles Intersect at Most Twice
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Explanations
1
Suppose that we have two circles in the same plane. We will prove that the circles intersect at most twice. Let the radii of the circles be R1R_1R1 and R2R_2R2. Let the distan…
By Sujay Kazi
Problems
1
What is the maximum possible number of intersections of two distinct circles?
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