The center of a circle is equidistant from all points on the circle.
The middle of the diameter.
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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 line from the center of a circle to a point on the circle is the radius.
The radius is the distance between the center of a circle and a point on the circle
The secant of a circle passes through the center of a circle sometimes
They are equidistant from the center of the circle !They are equidistant from the center of the circle.