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There is only one line (or line segment) that can be drawn between two distince points.
A cord of a circle is any line segment connecting any two unique points on the curve. Any cord drawn through the center of the circle will be a diameter of the circle. These cords will be the longest cords that can be drawn, and any one of them can bisect the circle into two identical parts.
A line segment drawn through the centre of a circle and having endpoints on the circumference of that circle is called the diameter. Notably, a line segement with one endpoint at the centre of the circle and one anywhere on the circumference of the circle is called the radius, and is exactly half the length of the diameter.
A straight line segment can be drawn joining any two points.
A mathematical arc is any segment of the circumference of a circle. It is normally expressed in degrees, referring to the angle between the two lines drawn from either end of the arc to the center of the circle. Therefore, a 900 arc is 1/4 of the circle's circumference and a 1800 arc is half the circumference.