2020/08/18 by B., Damini D., Dhar, Abhishek · 1 citation
#97-01 #FOS: Mathematics #History and Overview (math.HO)
paper · doi:10.48550/arxiv.2008.07995
The ratio of the circumference, C, of a circle to its diameter, D, is a constant number denoted by π and is independent of the size of the circle. It is known that π is an irrational number and therefore cannot be expressed as a common fraction. Its value is approximately equal to 3.141592. Since Archimedes was one of the first persons to suggest a rational approximation of 22/7 for π, it is sometimes referred to as Archimedes' constant. In this article, we discuss how Archimedes came up with his formula. Archimedes in fact proved that 223/71 < π < 22/7. Here we provide an improved lower bound.