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That's false

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Q: True or false a circle is the set of all points in a plane that lie a fixed distance from a fixed point?
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What part of the circle that fixed distance from any point on a circle to the circle's center?

The radius is always at a fixed, unchanging distance from the center of a circle to all the surrounding points.


A collection of points in the plane whose distance from fixed point is constant?

That's a circle. The "fixed point" is the center of the circle, and the constant distance is its radius.


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.)


What is the set of points in a plane at a fixed distance from a given point?

CIRCLE


The center of a circle is a example of what?

A point. In fact it is fixed point and the locus of all points, in a plane that is a fixed distance from that fixed point defines the circle.


The set of all points in a plane that are the same distance from a fixed point?

circle


What is the denifion of a circle?

I assume that you are asking about the definition of a circle. A circle is a locus of points in a plane that are at a constant distance from a fixed point.


How do you get circle?

A circle is the set of all points in two dimensional space that are at the same distance from some fixed point.


A compass draws all points a given distance from a fixed point thereby creating a locus of points for a circle?

True


A compass draws all points at a uniform distance from a fixed point thereby creating a locus of points for a circle?

true


What is the mathematical definition of a circle?

A circle is the set of all points in a plane that are a given distance (or a fixed distance) from another point. Take a plane, and then pick any point on it. Then pick a distance from that point you picked and connect all the points that are that distance from your fixed point. That will describe the circumference of a circle. Another idea is to take a plane, pick any point, and then take a compass and put the point of that instrument on that point you picked. Then set a distance on the compass and draw a circle. That circle will be that set of all points a fixed distance from the original point you picked. (A string will work as well as a compass if that string is not stretched to draw the circle.)


What is name is given to the set of your points in a plane that are the same distance form a given fixed points?

Its name shall be called "circle".