Not really, but if you have many lines it can look like a curved shape.
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Add together the lengths of all the sides that make up the boundary of the shape. These need not be straight lines.
The usual definition is that the lines should be straight. On "alternative geometries", other definitions may be used. For example, on a sphere, the large circles (the largest you can make, whose center is the center of the sphere) replace straight lines. Note that in this case, the normal parallel axiom is no longer valid.
No not just any shape that has 8 side can be called an octagon. An octagon has straight lines that make up a closed bounded shape.
A polygon is a shape made of three or more straight lines that surround a closed space. If you had three lines that did not make a triangle but instead looked like the letter "N," that would not be a polygon because the lines don't close a space. A space is closed when it is entirely surrounded by lines.Hope that helped :D
The simplest answer is a cylinder (although you could squish it a bit to make something slightly different). It has a curved rectangular face, two circular faces, and two curved edges.