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A line
A line is related to a surface as a point to a plane. In geometry, a point has no dimensions and defines a location in space, while a plane is a two-dimensional surface that extends infinitely in all directions. Similarly, a line is a one-dimensional figure that extends infinitely in two opposite directions, while a surface is a two-dimensional figure that extends infinitely in all directions.
A plane figure
No. A plane extends to the ends of the universe.
A circle has no volume. It is a planar figure and is flat, and it has no thickness. A circle does not have any thinkness just as a plane, the construct on which it is drawn, has no thickness.