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They are called equidistant points and form points on a sphere for a solid or a circle on a plane figure.

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Q: A set of points all a given distance from a center point?
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A set of points that are ALL THE same 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.


What is the set of all points a given distance from a fixed 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. In 3 dimensional space, the set would be the surface of a sphere.


The set of points in space that are a given distance from a given point is?

A spherical surface, with its center at the given point, and its radius equal to the given distance.


What is the set of points in a space that are a given distance from a given point?

They form the sphere whose center is the given point and whose radius is the given distance.


What is the set of all points in a plane that are a given distance from a given point?

That's a "circle". The given distance is the circle's radius, and the given point is the circle's center.


The set points in space that are a given distance from a given point is?

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.


Which geometric object is defined as the set if all points in a plane at a given distance at a given point?

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.


What is the set of points in a plane that are given distance from a point?

That's a figure called a "circle". The given distance is the circle's radius, and the point is its center.


What is a shape consisting of all the points a given distance from a center point?

A circle.


Is a solid with all points the same distance from a given point called the center?

It is a sphere.


The set of all points in a plane that are the same distance from a given point?

circle, but the given end point is called the center of a circle : )


What consists of points in a plane that are all the same distance from a given point?

That's a good definition of a circle. The "given point" is the center of the circle.