Q: Is it a circle is named by its center?

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Center.

Radius: A line from the center of a circle to a point on the circle. Central Angle: The angle subtended at the center of a circle by two given points on the circle.

yes a diameter passes through the center of a circle

... center of the circle.

Any point on the graph can be the center of a circle. If the center is on the x-axis, then the circle is symmetric with respect to the x-axis.

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No it's made by the circle that how they get the circle not the center.

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."

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

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

True.

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.

Not true because only the largest chord passes through the center of a circle which is its diameter

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.

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

The center of a circle is the point from which all points on the circle are equidistant.