Technically, yes.
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Yes ,it is a curve that is just around a circle
Yes, a circle is a closed curve: its starting and ending points are the same. (any arbitrary point) Yes, it is a closed plane curve (two-dimensional line). A circle has a constant arc curvature, as compared to obloid or elliptical closed curves.
circle
Ellipse circle
The circumference is the distance around a closed curve. It is used to mean the perimeter of a circle.The circumference is the distance around a closed curve (i.e. a circle).