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That set of points forms what is known as a "circle".

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A set of point that is equidistant to a fixed point called center?

A set of points that are equidistant from a fixed point, known as the center, forms a geometric shape called a circle. In a two-dimensional plane, all points on the circle are the same distance from the center, which is defined as the radius. This concept can be extended to higher dimensions, where the set of points equidistant from a center forms a sphere in three-dimensional space.


What is a point that is equidistant from all points on a circle?

The center of the circle. That's how the circle is defined. (The collection of all points on a plane equidistant from a fixed point. The fixed point is the center and the fixed distance is the radius.)


A perfectly round shape with all points equidistant from a fixed point or center is what?

a sphere


Briefly explain the focus and directrix of a parabola?

the set of points equidistant from a fixed point


What is the shape of a circle?

A circle is a closed curve where all points are equidistant from a fixed point called the center. It is a two-dimensional shape with no corners or edges.


What is the meaning of circle in math?

It is a round plane figure whose boundary (the circumference) consists of points equidistant from a fixed point (the center).


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


How is the word 'sphere' defined?

A sphere is a solid figure in which every point is equidistant from a fixed point called the center.


What is the locus of points in a plane that are equidistant from two fixed points?

I believe that is the definition of a straight line.


How is the word 'circle' defined?

A circle is a plane figure consisting of a curve in which every point is equidistant from a fixed point called the center.


What is a plane curve that is everywhere equidistant from a given fixed point its center?

A circle.


What is a three-dimensional surface in which all points are equidistant from a fixed point?

A 'spherical' surface.