That's a "circle". The given distance is the circle's radius,
and the given point is the circle's center.
CIRCLE
This is the definition of a circle.
In three dimensions, the solid defined as being bound by the set of points at a given distance form a point is a sphere. In two dimensions, the figure defined as being bound by the set of points at a given distance from a point is a circle. In one dimension, a line segment is bound by the two points at a given distance from a point.
A sphere is a solid bounded by the set of all points at a given distance from a given point.
A circle or a sphere would fit the given description.
a circle
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.
They are points on the circumference of a unique circle in the plane.
true
CIRCLE
These point are usually called loci as they are defined by a give set of rules.
That's a figure called a "circle". The given distance is the circle's radius, and the point is its center.
circle
That is a circle.
All points in a plane that are equidistant from a given point form a circle. The center of the circle is the given point, and the radius is the constant distance from the center to any point on the circle. Thus, every point on this circle maintains the same distance from the center point.
circle