In two dimensions, it looks almost like a circle, because there are too many sides to see them all. In three dimensions, it is almost like a sphere or a ball.
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Any of these shapes is practically circular. A 20-sided shape is an icosagon. a 50-sided shape is a pentacontagon (aka pentecontagon). A 100-sided shape is a hectogon (aka hecatontagon). A 1000-sided shape is a chiliagon.
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Yes.
A 1000 sided polygon is called a chiliagon.
It is quite acceptable to call it a 1000-agon but what is more important is knowing how to work out its properties.