Author(s)

Lyndon O. Barton

Delaware State University, Dover, USA.

This paper presents a graphical procedure for the squaring of a circle of any radius. This procedure, which is based on a novel application of the involute profile, when applied to a circle of arbitrary radius (using only an unmarked ruler and a compass), produced a square equal in area to the given circle, which is 50 cm². This result was a clear demonstration that not only is the construction valid for the squaring of a circle of any radius, but it is also capable of achieving absolute results (independent of the number pi (π), in a finite number of steps), when carried out with precision.

Famous Problems in Mathematics, Archimedes, College Mathematics, Involute, Mean Proportional Principle, Squaring the Circle, Quadrature, Geometer’s Sketch Pad, College Geometry

Barton, L. (2023) A Procedure for the Squaring of a Circle (of Any Radius). Advances in Pure Mathematics, 13, 96-102. doi: 10.4236/apm.2023.132005.