A circle.
CIRCLE
Its name shall be called "circle".
a circle
They are points on the circumference of a unique circle in the plane.
A circle is the set of all points in a plane at a given distance FROM a given point, which is known as the circle's center.
A circle is a simple shape of Euclidean geometry consisting of those points in a plane that are a given distance from a given point, the center.simplified, it is all the points on a plane that are the same distance from a given point.
This set of points forms a circle with the fixed point as its center.
true
That's a circle. The "fixed point" is the center of the circle, and the constant distance is its radius.
That's false
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.)
The set of all points in a plane at a given distance from a given point.clock