The centre
No. A chord is a straight line joining two points on the circumference of a circle whereas a radius joins only one point on the circumference to the circle centre. A diameter is a straight line joining two points on the circumference (via the circle's centre) and so is also a chord. (Yes, but the question is about a radius, not a diameter!)
A chord touches two points on the circumference of a circle whereas a radius touches only one point from its center.
The line segment is the radius of a circle that connects the center of a circle to any point on its circumference.
A straight line touching the circumference of circle at one point is a tangent
This is the center of the circle. From the center of the circle, all the points on the circle are equally distant.
The center isn't the locus, and a point on the circumference isn't the locus.The whole circumference of the circle is the locus.It's the locus of all points that have the same distance from the center of the circle.
It is the set of all point INSIDE the circle but not points on the circumference.
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.
exactly three times as far from point A as they are from point B?
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.
It is the centre of a circle
The centre of a circle is equal distance from all points of its circumference
They are points on the circumference of a unique circle in the plane.
It is the distance between the two points.
There are an infinity of points 4cm from a given line. These points form 2 lines parallel to and either side of the original line. Equally, there are an infinite number of points 4cm from a given point on the original line. These points lie on the circumference of a circle radius 4cm with its centre at the given point. There are only 2 points that fulfil both conditions. These points are found on the circumference of the circle where a diameter perpendicular to the original line and passing through the given point meets the circumference of the circle. These two points are also where the two parallel lines form tangents with the circle.
No. A chord is a straight line joining two points on the circumference of a circle whereas a radius joins only one point on the circumference to the circle centre. A diameter is a straight line joining two points on the circumference (via the circle's centre) and so is also a chord. (Yes, but the question is about a radius, not a diameter!)
equidistant, the circumference of a circle is formed by equidistant points from the center of the circle. It could also be the surface of a sphere if you are not limited to two dimensions.