That set of points forms what is known as a "circle".
The center of the circle. That's how the circle is defined. (The collection of all points on a plane equidistant from a fixed point. The fixed point is the center and the fixed distance is the radius.)
a sphere
It is a round plane figure whose boundary (the circumference) consists of points equidistant from a fixed point (the center).
The radius is always at a fixed, unchanging distance from the center of a circle to all the surrounding points.
Most likely sinusoid.
The center of the circle. That's how the circle is defined. (The collection of all points on a plane equidistant from a fixed point. The fixed point is the center and the fixed distance is the radius.)
a sphere
the set of points equidistant from a fixed point
A circle is a closed curve where all points are equidistant from a fixed point called the center. It is a two-dimensional shape with no corners or edges.
It is a round plane figure whose boundary (the circumference) consists of points equidistant from a fixed point (the center).
A circle is the locus of all points equidistant from a given point, which is the center of the circle, and a circle can be drawn with a compass. (The phrase "locus of points for a circle" does not seem to be conventionally defined.) or true
A sphere is a solid figure in which every point is equidistant from a fixed point called the center.
I believe that is the definition of a straight line.
A circle is a plane figure consisting of a curve in which every point is equidistant from a fixed point called the center.
A circle.
A 'spherical' surface.
A plane curve all equidistant from a given fixed point, the center.