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 ...

•3.1(A) - apply mathematics to problems arising in everyday life, society, and the workplace; •3.6(C) - determine the area of rectangles with whole number side lengths in problems using multiplication ...

David P. Robbins, a noted mathematician who tried in his dying months to solve a problem that had bothered him since he was a boy -- What is the area of a polygon if you know only the lengths of the ...