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a sphere

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


Briefly explain the focus and directrix of a parabola?

the set of points equidistant from a fixed point


Is the set of all points in a plane that are equidistant from a fixed point of the plane called the center?

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


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


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.


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.


What is a circle by definition?

A plane curve all equidistant from a given fixed point, the center.


What 3-dimensional figures is made from a set of points in space that are equidistant from a fixed point?

Sphere


What 3-dimensional figure is made from a set of points in space that are equidistant from a fixed point?

A sphere.


What geometric figure is described as the set of points equidistant from a fixed point?

It could be a circle or a sphere