It finds an approximation of pi by determining the length of the perimeter of a polygon inscribed ... the circumference of the circle) and the perimeter of a polygon circumscribed outside a ...

and the lengths of the sides of the circumscribed red hexagon would be 1/√3. The perimeter of the inscribed blue hexagon has to be smaller than the circumference of the circle, since the hexagon ...

He accomplished this by approximating the circumference of a circle by the perimeters of regular polygons inscribed in and circumscribed around the circle. Pi is ubiquitous in modern science and ...

The radius of the inscribed circle C1= (3 + 4 – 5)/2 = 1 cms. The radius of the circumscribed circle C2= 5/2 = 2.5 cms. (because in this case, the hypotenuse will be the diameter of the ...

Archimedes determined the upper and lower range of pi by finding the perimeters of inscribed and circumscribed polygons ... to the circumference of the circle and thereby come up with his ...