IT is well known that the Mathematics is one of the most important branches of the Science. As a fact, it contains many interesting things . The approximation of pi (π) is one of the example.
Aryabhatta - a well-known Indian Mathematician worked on the approximation for pi (π) , and may have come to the conclusion that it is irrational . In the second part of the his Book Aryabhatiyam , he writes " Add four to 100, multiply by 8 , and then add 62,000 . By this rule the circumference of a circle with a diameter of 20,000 can be approached ."
This implies that the ratio of the circumference to the diameter is [ (4+100) x 8 + 62,000 ] / 20,000 = 62,832 / 20,000 = 3.1416 which is accurate to five significant figures
Thus, the pi (π) is defined as the ratio of circumference of a circle and its diameter . It is speculated that Aryabhatta mean that not only is this an approximation but that the value is irrational . This is correct , it is quite a sophisticated insight, because the irrationality of pi (π) was proved in Europe only in 1761 by Lambert.
Aryabhatta - a well-known Indian Mathematician worked on the approximation for pi (π) , and may have come to the conclusion that it is irrational . In the second part of the his Book Aryabhatiyam , he writes " Add four to 100, multiply by 8 , and then add 62,000 . By this rule the circumference of a circle with a diameter of 20,000 can be approached ."
This implies that the ratio of the circumference to the diameter is [ (4+100) x 8 + 62,000 ] / 20,000 = 62,832 / 20,000 = 3.1416 which is accurate to five significant figures
Thus, the pi (π) is defined as the ratio of circumference of a circle and its diameter . It is speculated that Aryabhatta mean that not only is this an approximation but that the value is irrational . This is correct , it is quite a sophisticated insight, because the irrationality of pi (π) was proved in Europe only in 1761 by Lambert.
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