There's no points, but I think you are referring to radius, diameter, circumference. Search those terms & you will be headed in the right direction.
EquidistantIt's called the center or origin of the circle. All points on a circle are equidistant from the center
A part of a circle between two points on a circle is called is called an arc.
That's called the center
the center of the circleThat point is called the "center" of the circle.
It is the centre of a circle
A circular region or a disk.
A circle is the set of all points in a plane that are equidistant from a given point, called the center.
This is the center of the circle. From the center of the circle, all the points on the circle are equally distant.
The shape of a circle is round. Circles are plane shapes that have all points that are the same distance from the center.
The union of a circle and its interior refers to the combination of all points on the circle itself and all points inside the circle. This forms a set that includes both the boundary of the circle and its interior region. In mathematical terms, this union is represented as the circle itself along with all points within the circle, denoted as the closed disk.
A circle is the set of all the points that are the same (arbitrary) distance (called the radius) from some (arbitrary) point (called the center).
They are called equidistant points and form points on a sphere for a solid or a circle on a plane figure.