This is referred to as a chord. If the chord passes through the center of the circle, it represents the diameteror width of the circle.
For a circle, the length of the diameter is the longest possible length of a chord.
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The correct term for a line segment with both endpoints on a circle is a chord. The diameter of a circle is also a chord.
Some segments with both endpoints on a circle are not diameters.
No, it is not. A chord is a line segment. It cannot have a length of zero. A point has no dimensions. The chord of a circle is a line segment that has its endpoints (both of them) on the curve (or circumference) of the circle.
a line segment is part of a line that does not continue infinetely. therefore it has endpoints on both sides. by default a line segment has 2 endpoints, it is not a question if it 'can' have 2 endpoints.
radius