The precise technical term for the center point of a circle ... used by the most seasoned professionals in the field of Classical Geometry ... is "Center". If you throw that term around in casual conversation, you too will get a lot of respect.
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EquidistantIt's called the center or origin of the circle. All points on a circle are equidistant from the center
Center
The line segment is the radius of a circle that connects the center of a circle to any point on its circumference.
Radiusradius
Radius