The perimeter of the inscribed blue hexagon has to be smaller than the circumference of the circle, since the hexagon fits entirely inside the circle. The six sides of the hexagon all have length ...

Archimedes determined the upper and lower range of pi by finding the perimeters of inscribed and circumscribed polygons. By doubling the number of sides of the hexagon to a 12-sided polygon, then ...

They may be arranged to form a regular hexagon with an inscribed black equilateral triangle or a regular hexagon with an inscribed red equilateral triangle. This is Wheeler's model 3HA. A drawing ...

This interactive feature illustrates Archimedes' basic approach to calculating pi. It finds an approximation by determining the length of the perimeter of a polygon inscribed within a circle and ...

Geometric Model by A. Harry Wheeler, Hexagon Transformable into Hexagon, Plane Dissection National Museum of American History. Click to open image viewer. Hinged Plane Dissection, Appears to be four ...