Geometry Through Art

Norman Shapiro

An inscribed square

Table of Contents || List of Constructions
Note: Before the inscribed square can be constructed, at least 12 equidistant points must be made on the circumference of the circle, as in Coffee Can Geometry.

Any regular polygon, including the square, can be inscribed. The diameters of the inscribed square intersect at the center of the circle to form four equal angles of 90 degrees (360 degrees divided by 4).

Investigate the attributes of the central angles of an inscribed rectangle.

Do random pairs of diameters make all quadrilateral figures into rectangles?

Does this hold true for chords that do not pass through the center of the circle?

Inscribed Square: Sketch
List of Constructions

Copyright 1995 Norman Shapiro

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