It is called the hub.
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The line from the center of a circle to a point on the circle is the radius.
The radius is always at a fixed, unchanging distance from the center of a circle to all the surrounding points.
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.
radius
The secant of a circle passes through the center of a circle sometimes