The set of all points in space that are the same distance from a given point is called a sphere.
A sphere
That's a sphere.
In 2-dimensional space, a circle. In 3-dimensional space, a sphere.
no
sounds like a sphere to me.
A globular sphere has all points at the same distance from an interiocenter point.
8,070.000
A sphere
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.
That's a sphere.
A circle is the set of all points in two dimensional space that are at the same distance from some fixed point.
In 2-dimensional space, a circle. In 3-dimensional space, a sphere.
Alternates are fill-in-the-blank version of this Q. are the same distance from a point and a line
no
sounds like a sphere to me.
By definition, a set of all points all the same distance from a given point is a circle (in two-dimensional space). To why take a pencil (or a math compass), place it on a sheet of paper and hold the eraser down on a single point. Without moving the eraser, move the pencil around. The length of the pencil does not change so you are drawing all the points that are the same distance from a given point. What shape does it make? A circle. FYI If you are dealing with 3-dimensional space, the answer is a sphere.
A circle