Yes.
Yes.
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Yes.
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No.A quadrilateral is any four sided figure.So it doesn't matter whether one of the sides is curved or straight as long as it is four sided.
One, around the base. As a matter of fact it is the only edge of a cone which also has a vertex at the point.
No. An area is always two-dimensional. It doesn't matter whether you are talking about the area of a square, a circle, an ellipse, or any other flat figure; or the surface are of a three-dimensional figure such as a cube or sphere.
A quadrilateral has 2 diagonals. It does not matter whether it is convex or not.
it depends on which size it is and how much matter it contains