It is called a circle.
That's a figure called a "circle". The given distance is the circle's radius, and the point is its center.
The set of all points in space that are the same distance from a given point is called a sphere.
circle, but the given end point is called the center of a circle : )
It is a sphere.
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.
The set of all points a given distance from a center point is a circle. The given distance is the radius, and the given point is the center. Or, in 3 dimensional space, a sphere.
These point are usually called loci as they are defined by a give set of rules.
A circle
A spherical surface, with its center at the given point, and its radius equal to the given distance.
The set of all points a given distance from a center point is a circle. The given distance is the radius, and the given point is the center. In 3 dimensional space, the set would be the surface of a sphere.
They are called equidistant points and form points on a sphere for a solid or a circle on a plane figure.