A line across its diameter
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The circle's diameter
Only the diameter can divide the circle in to two equal parts.
daimeter..
It could be the diameter of a circle that produces 2 congruent segments or the midpoint of a line segment
A line segment that divides a circle in two is a chord.If the two parts of the circle are equal, the line segment is a diameter.See 'The Parts of the Circle' in Sources and related links, below.