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concentric
A concentric circle.
Non concentric circles are circles that do not share the same center point.
No; tangent circles touch each other at one point but concentric circles cannot not touch.
Concentric circles are the circles with the same center therefore they do not cross with each other as the "center is not considered a point on the circle". An exception would be two circles that are concentric and have the same radius, in which case the circles are indistinct and every point of the circles is an intersection.