I have been trying to learn Inkscape and I encountered a property of the ellipse tool which said closed figure with two radii. I am very confused about it and cannot make out why it doesn't qualify as an unclosed figure.
In Inkscape, an ellipse created with the Ellipse tool, and the Switch to Segment option, is a closed shape.
You will see this if you stroke the shape or if you turn it into paths using Path > Object to Path. It's quite clearly a closed shape.
Ellipse (segment) with stroke.
Same shape converted to paths.
Unclosed shapes on the other hand, have a start and end point that do not join up.
For example, this open path was created by switching to the Arc (unclosed shape) option in the Ellipse tool. Then I converted the object to paths so you can see it.