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 a 24 ...

What the heck is so regular about a regular polygon? Above is a regular nonagon inscribed within a circle. The shaded region has an area of 2874.296608 square meters. Find circumference C of the ...

The polygon must be inscribed in the ellipse (ie-no part of the polygon can protrude outside the boundary of the ellipse when the two are concentric). I have a system of circles that produces ...

Scientific American is part of Springer Nature, which owns or has commercial relations with thousands of scientific publications (many of them can be found at www ...

Around 250 B.C., the Greek mathematician Archimedes calculated the ratio of a circle's circumference to its diameter. A precise determination of pi, as we know this ratio today, had long been of ...