Lets see how far did you learn from geometry.
If a circle has the same unit, perimeter and area of a triangle, quadrilateral, pentagon, hexagon, heptagon, octagon, and so on.... Then would a circle be considered a polygon?
Note:
1.) Assume that the (so on....) in the sentence continues the sequence of polygons.
2.) Assume that all these polygons being mentioned above have the same unit, perimeter and area to the circle even if it is impossible.
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Here is a definition of a polygon. "In geometry, a polygon /ˈpɒlɪɡɒn/ is traditionally a plane figure that is bounded by a finite chain of straight line segments closing in a loop to form a closed chain or circuit. These segments are called its edges or sides, and the points where two edges meet are the polygon's vertices (singular: vertex) or corners. The interior of the polygon is sometimes called its body. An n-gon is a polygon with n sides. A polygon is a 2-dimensional example of the more general polytope in any number of dimensions."Just read and understand. Does a circle have corners? vertex? straight lines? and edges? I don't think so....
Source: http://en.wikipedia.org/wiki/Polygon