Two. Considering this is a two-dimensional object, cut out of a piece of paper it would have two flat surfaces, the front and the back. If your talking a about a sphere, the three-dimensional object of a circle, it has no flat surfaces considering it is round.
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There are 5 flat surfaces.
2 flat and 1 curved
2
Six.A cube has 6 faces, so it would have 6 flat surfaces
six