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The common step in the constructions of a regular hexagon, a square, and an equilateral triangle inscribed in a circle is the process of drawing the circle itself, which serves as the circumcircle for all three shapes. After establishing the circle's center and radius, each shape can be constructed by dividing the circle's circumference into equal segments or angles, allowing for the accurate placement of vertices. This foundational step ensures that all vertices of the shapes are equidistant from the center, maintaining their regularity.

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8mo ago

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