Ohio Assessments for Educators (OAE) Mathematics Practice Exam

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What characterizes concentric circles?

Circles with different centers
Circles with the same center and different radii
Circles that touch at one point
Circles that intersect at two points

The correct answer is: Circles with the same center and different radii

Concentric circles are characterized by having the same center but different radii. This means that all the circles share a central point, which is the center of the circles, while the distances from this center to the circumferences of the circles vary, resulting in different sizes. This unique feature allows concentric circles to exist within the same plane without overlapping, providing a distinct visual arrangement. In contrast, circles with different centers would not be considered concentric since they lack the shared central point. Circles that touch at one point represent tangent circles, and circles intersecting at two points showcase a different relationship entirely, indicating they are independent of the concentric property.