Archimedes (approximately 285---212 B.C.) was the most famous ancient Greek mathematician and inventor. He invented the Screw of Archimedes, a device to lift water, and played a major role in the defense of Syracuse against a Roman Siege, inventing many war machines that were so effective that they long delayed the final sacking of the city. Archimedes's proposed that the value of will be between perimeter of polygin drawn Incircle and Outcircle of unit length. Means perimeter of incircle perimeter of outcircle.
HOW TO USE THIS APPLET:
Above method given Archimedes. In this method we have to select the number of edges to be drawn inside and out side the circle. When we select the number of edges, incircle and outcircle is drawn and its perimeter and difference is also shown in the corresponding text box. As we increase the number of edges, difference of both perimeters is decreases and the value of more approximate. In above applet we can select up to hundred numbers of edges and at this point both the incircle and out circle be overlapped.