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What is the mathematic definition of circle?

A circle is the set of all points in a plane that are equidistant from a given point, called the center.


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

A circle.


What is the set of points in a plane that are equidistant from a given point known as the center?

circle


What is a circle by definition?

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


What are all points in a plane equidistant from a given point?

All points in a plane that are equidistant from a given point form a circle. The center of the circle is the given point, and the radius is the constant distance from the center to any point on the circle. Thus, every point on this circle maintains the same distance from the center point.


A set of points all a given distance from a center point?

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


What is all the points in a plane equidistant from the center?

That's a circle around the center, in the plane.


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

I believe that's a circle...


All the points on a plane that are equidistant from a single point?

All points on the circumference of a circle drawn on a plane are equidistant from the single point on the plane which is the center of the circle.


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

A Circle.


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.