That would be a parallelogram .
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Square
A square is a regular polygon because all sides are equal and all angles are equal.
A square
Since you are a quadrangle with square corners, you are a 4-sided polygon with 90° angles, which means you are a rectangle. If all the sides are equal length, you are a square, which is a specific type of rectangle.
An inscribed circle has its circumference tangent to each side of the square or other type of polygon surrounding it.