Not normally because it is a circle that has radius.
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Depends on what level of math you're on, the most simple of ways to explain is this: If you were to divide the circle into many pieces using the radius, let's say eight pieces. You then rearrange them into a parallelogram and each base is half of the circumference. The height of it is the radius, and using the method to find a parallelogram, BxH=A.
No, a parallelogram is not a trapezoid.
Square = parallelogram and a square trapezoid = trapezoid Parallelogram = Parallelogram
No, a parallelogram is not always a square, but a square is a parallelogram.
No, a parallelogram is not necessarily square.However, by definition, a square is always a parallelogram.