That's false
The radius is always at a fixed, unchanging distance from the center of a circle to all the surrounding points.
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.)
CIRCLE
It is a circle or a sphere that fits the given description
It is the circle's radius
The radius is always at a fixed, unchanging distance from the center of a circle to all the surrounding points.
This set of points forms a circle with the fixed point as its center.
That's a circle. The "fixed point" is the center of the circle, and the constant distance is its radius.
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.)
CIRCLE
I assume that you are asking about the definition of a circle. A circle is a locus of points in a plane that are at a constant distance from a fixed point.
A circle is the set of all points in two dimensional space that are at the same distance from some fixed point.
True
true
A circle is the set of all points in a plane that are a given distance (or a fixed distance) from another point. Take a plane, and then pick any point on it. Then pick a distance from that point you picked and connect all the points that are that distance from your fixed point. That will describe the circumference of a circle. Another idea is to take a plane, pick any point, and then take a compass and put the point of that instrument on that point you picked. Then set a distance on the compass and draw a circle. That circle will be that set of all points a fixed distance from the original point you picked. (A string will work as well as a compass if that string is not stretched to draw the circle.)
Its name shall be called "circle".
It is a graph of all points which are are the same distance (the radius) from a fixed point (the centre).