The points are all the same distance from the center of the circle. The distance between the center and any point is the radius of the circle.
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The distance from any point on the circle to the origin
A circle
The center.
That means that a given circle doesn't have two or three diameters. For a given circle, there is a unique measurement, called its "diameter". It is the distance from one end to the other, passing through the center. Since the circle is defined as all the points that are at the same distance from a point (the center), all radii are the same distance; and the diameter is simply twice the radius.
This is the center of the circle. From the center of the circle, all the points on the circle are equally distant.