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.
A set of points that are equidistant from a fixed point, known as the center, forms a geometric shape called a circle. In a two-dimensional plane, all points on the circle are the same distance from the center, which is defined as the radius. This concept can be extended to higher dimensions, where the set of points equidistant from a center forms a sphere in three-dimensional space.
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.