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.
In the above applet, we are drawing incircle and outcircle of different no of edges and calculating its perimeter. As you increase the no of edges it's perimeter is going to closer to the circle and at a point both incircle and outcircle perimeter is same and at this point you will get most aproximate value of
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.
