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The babylonians first discovered the ratio compared to the diameter and circumference of a circle. Later, Archimedes(287-212BC) discovered and proved his theory of pi. Pi to 27 decimal places: 3.141592653589793238462643383 The square root of pi (to 30 decimal places) is: 1.772453850905516027298167483314
3.14159265358979323846264338327950288419716939937510582097494459230781640628620 8998628034825342117067982148086513282306647093844609550582231725359408128481117 4502841027019385211055596446229489549303819644288109756659334461284756482337867 8316527120190914564856692346034861045432664821339360726024914127372458700660631 5588174881520920962829254091715364367892590360011330530548820466521384146951941 511609.. pi is not discovered...it is calculated. It is an unending number and millions of digits have been calculated.
The concept of pi has been known by mathematicians for thousands of years whereas the circumference of a circle divided by its diameter is about 22/7. However, the exact value of pi has never been discovered because it is an irrational number whose decimal places go on for ever and ever.
No, the sum of a repeating decimal and a terminating decimal is never a terminating decimal.
A terminating decimal is a decimal that ends. A repeating decimal is a decimal that goes on and on.