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Square, triangle, circle, oval. Anything that can be drawn on a flat (planar) surface.
If you mean can a circle always be drawn round a quadrilateral so that the quadrilateral is enclosed within the circle then yes as long as the diameter of the circle is large enough. If you mean can a circle always be drawn around a quadrilateral so that it passes through all vertices then only if the opposite angles of the quadrilateral add up to 180o - such quadrilaterals are called cyclic quadrilaterals.
No.A sphere is a three dimensional object whereas a circle is a two dimensional shape
No, a circle is not an organic shape. A circle is a geometric shape.
A circle is not a plane shape. A circle is round a plane is not. A plane has parts that are similar to a circle shape.