Studies on circles have been discussed for some time. The invention of the wheel is the basic discovery of the nature of a circle. The Greeks regard Egyptians as geometric creators. Ahmes who is author of the papyrus Rhind, presented a rule to determine the area of a circle which corresponds to π = 256/81 or about 3.16.
The first theorems associated with the circle were associated with Thales around 650 BC. Book III Euclid Elements deals with the properties of the circles and the problems of writing and explanations on polygons.
One of the problems of Greek mathematics is the problem of finding the area with the same area as the given circle. Some of the ‘well-known round shapes’ in this heap are first studied in an attempt to solve this problem. In 450 BC the first mathematician to study this problem was Anaxagoras.
The problem of finding the area of a circle caused integration. The formula for the area of a circle given is πa2 and the length of the circumference is 2πa.