Where Two Circles Intersect?

Two circles may intersect in two imaginary points, a single degenerate point, or two distinct points. The intersections of two circles determine a line known as the radical line.

How do you find where two circles intersect?

To do this, you need to work out the radius and the centre of each circle. If the sum of the radii and the distance between the centres are equal, then the circles touch externally. If the difference between the radii and the distance between the centres are equal, then the circles touch internally.

How many intersections can 2 circles have?

If two circles are different, then they can only intersect 0, 1, or 2 times.

Marcus Vance

Marcus Vance

Cybersecurity & Digital Privacy Researcher

Marcus Vance is a cybersecurity auditor and technology writer dedicated to educating the public about online safety, data privacy regulations, enterprise security, and emerging cyber threats.