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Q: Is a circle named by its center?

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Center. For example, if the point in the center of the circle was point O, then the circle would be named circle O.

It can be, unless there are concentric circles.

A circle is named by it's center point. For instance, let's say you have a circle, complete with chords, radii, a central angle, a center point, etc., etc. We'll say the central point is named "R." Therefore, your circle is named "Circle R."

True.

You can completely specify a circle in a plane by giving the coordinates of its center point, and the length of the radius.

It is typically named using one point, which is the center. Sometimes, a circle could be referred to "a circle with diameter AB" in which two points are named. However, you need three non-collinear points to uniquely determine a circle.

No. Every circle on the sphere whose center is also the center of the sphere is a great circle. If the circle's center is not also the center of the sphere, then the circle is a small circle.

The cord of a circle that contains the center of that circle is a diameter of that circle.

A RADIUS connects the center of a circle to any point on the circle.

This circle is called the center circle.

A chord of a circle that contains the center of the circle is called the diameter.

The line from the center of a circle to a point on the circle is the radius.

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