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the center of the circle
That point is called the "center" of the circle.

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Q: What point within a circle is the same distance from all points on the circle?
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What shape has all points at the same distance from the center?

A circle has all of it's points the same distance from the center. For example, if you put a dot on a given point on the circumference, or outline of a circle, all the points have the same distance from the circle. This only works if you put a point on the outline or circumference of the circle.


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

A circle


What is the set of points in a plane that are given distance from a point?

That's a figure called a "circle". The given distance is the circle's radius, and the point is its center.


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.)


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.

Related questions

What is a circal in math terms?

A circle is the set of all points, on a plane, that is at a specific distance from a specified point (the center).A circle is the set of all points, on a plane, that is at a specific distance from a specified point (the center).A circle is the set of all points, on a plane, that is at a specific distance from a specified point (the center).A circle is the set of all points, on a plane, that is at a specific distance from a specified point (the center).


Every point on a circle is the same distance from what location?

The points are all the same distance from the center of the circle. The distance between the center and any point is the radius of the circle.


What is the point from which all points on a circle are the same distance?

This is the center of the circle. From the center of the circle, all the points on the circle are equally distant.


The point inside a circle that is the same distance from all points on the circle?

The center.


What the point on a circle are all the same distance from the?

The centre of a circle is equal distance from all points of its circumference


What shape has all points at the same distance from the center?

A circle has all of it's points the same distance from the center. For example, if you put a dot on a given point on the circumference, or outline of a circle, all the points have the same distance from the circle. This only works if you put a point on the outline or circumference of the circle.


What is the set of all points in a plane that are a given distance from a given point?

That's a "circle". The given distance is the circle's radius, and the given point is the circle's center.


A set of points the same distance from a given point?

A circle


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

A circle


What is the set of points in a plane that are given distance from a point?

That's a figure called a "circle". The given distance is the circle's radius, and the point is its center.


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.)


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.