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A circle or sphere or hypersphere in 2 or 3 or more dimensions (respectively).

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Q: A is the set of all points in space at a given distance from a given point?
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What is the set of all points in space that are the same distance from a point?

The set of all points in space that are the same distance from a given point is called 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.


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 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.


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.


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 all points in space that are a given distance from a given point?

A circle, sphere or hyper-sphere - depending on the dimensionality of the space.


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

surface area of a cylinder? No. In 2-dimensional space, a circle and in 3-d, a sphere.


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

In 2-dimensional space, a circle. In 3-dimensional space, a sphere.


The locus of all points in space equidistant from a given point?

That's a sphere whose radius is the constant equal distance.


What is a set of points all the same distance from a given point?

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.


What space figure has all points at the same distance from an interiorcenter point?

A globular sphere has all points at the same distance from an interiocenter point.