No, take a semicircle, it is a plane figure and is open. Or a parabola is also open and a plane figure.
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A closed plane figure, for example, a sector of a circular or elliptical shape has no specific name.
Polygons are closed, two-dimensional figures that have 3 or more sides.
A polygon is any closed plane figure bounded by three or more straight sides.
It is a plane closed figures bounded by four straight lines, one pair of lines are parallel.
For example, figures like C and N are open figures, and figures like O and D are closed.