What is a chord in relation to a circle?

A chord is defined as a line segment whose endpoints are both located on the circumference of the circle. This means that it connects two points on the circle but does not necessarily pass through the center. The concept of a chord is fundamental in circle geometry as it helps to establish various properties related to arcs, angles, and other segments within the circle.

The other choices do not accurately describe what a chord is. For instance, a line that runs through the center of the circle is known as a diameter, while a line that extends beyond the circle is simply a line and does not have the specific properties of a chord. Lastly, a point in the center of the circle refers to the center itself and does not involve any segment, thus it is not a chord. Understanding the properties and definitions of these terms helps clarify the concept of a chord in the context of a circle.