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

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Q: The locus of all points in space equidistant from a given point?
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What is a locus of points equidistant from a point?

A locus of points is just the set of points satisfying a given condition. The locus of points equidistant from a point is a circle, since a circle is just a set of points which are all the same distance away from the center


Locus of all points in a plane equidistant from a given point?

A Circle.


A compass draws all points that are equidistant from a fixed point thereby creating a locus of points for a circle?

A circle is the locus of all points equidistant from a given point, which is the center of the circle, and a circle can be drawn with a compass. (The phrase "locus of points for a circle" does not seem to be conventionally defined.) or true


Locus of points equidistant from a point?

circle


What is mathematical phrase for a circle?

You can define a circle as the locus (set) of all points equidistant from a given point.


What is the point from which all points are equidistant?

This is the center, or locus, of a set of points, such as a curve or circle.


What is the locus point equidistant from two points AB that are 8 cm apart?

The locus point is the perpendicular bisector of AB. The locus point is the perpendicular bisector of AB.


Locus of a point equidistant from a point?

The locus of a moving point so that it is equidistant from another fixed point (i.e. the distance between them is always constant) is a circle.


A example of how a sphere is similar to a circle?

A circle, rotated about any diameter, will generate a sphere with the same radius. A circle is the locus of all points in 2-dimensional space that are equidistant from a fixed point. A sphere is the locus of all points in 3-dimensional space that are equidistant from a fixed point.


What is the locus of points at a given distance from a given point?

A circle


What is a set of points equidistant from a given point?

sphere


Set of points equidistant from a given point?

A circle