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Wednesday 4 September 2013

IGNOU BCA 5th sem Solved Assignment - Find out to how many decimal places the value 22/ 7 is accurate as an approximation of 3.14159265, where the latter is value of ╥, calculated up to 8 places after decimal ?

 Find out to how many decimal places the  value  22/ 7  is accurate as an approximation  of   3.14159265, where the latter  is value   of ╥, calculated up to 8 places after decimal ? 
Ans
                                         
is Appox true value is :

3.1415926535897932384626433832795

this it called the level of accuracy or to how many significant digits places

pi appox equal 22/7 or 355/113

Depending on the Level of Accuracy desired

here some other value appox value for it

31 ^ (1/3)

54648/17395 accurate to 7 decimal places

(2143/22)^.25 or (97 9/22)^ (1/4) accurate to 9 decimal places

833009/ 265155 = pi to 10 decimal places

52163/16604 pi is accurate to the true value to six or seven decimal places

144029661/45846065

69305155/22060516

5419351/1725033


52,163/16,604 = 3.1415923873765357745121657431944

312689/99532

312689/99532

3 + 4/28 - 1/(790 + 5/6) appox PI

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