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Two Circle Intersection Calculator

Enter both circle centers and radii to find zero, one, or two intersection points.

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Two circle intersections

Use one Cartesian plane and length unit. Reports zero, one, two, or infinitely many intersections; a coincident pair of zero-radius circles is one point.

Intersection coordinates (input unit): —

A QUICK WALKTHROUGH

How to use this tool

  1. Enter center coordinates and radius for circle one.
  2. Enter center coordinates and radius for circle two.
  3. Review intersection status and point coordinates.

Planar circle geometry

Reports no intersection, one tangent point, or two intersection points. Coincident circles of positive radius have infinitely many shared points and are reported separately; coincident zero-radius circles share one point.

Scope

Assumes circles in one Cartesian plane and finite non-negative radii. Local calculation only.

GOOD TO KNOW

Common questions

What happens for identical circles?

Positive-radius circles are reported as coincident rather than an infinite list of points; zero-radius circles at the same center are reported as one point.