What is the approximate value of pi?

2 Answers
Shwetank Mauria · Chirag Mehta
Sep 4, 2017

plz refer explanation

Explanation:

the approximate value of pi (π) is 3.14159265359 or #22/7#.

Although it is generally used as #22/7# or #3.14# or #3.1416#,

the most accurate fraction equivalent to #pi# is #355/113#.

George C.
Sep 4, 2017

See explanation...

Explanation:

The Chinese mathematician Zu Chongzhi (AD 420-500) calculated approximations to #pi# using counting rods. He was able to calculate that:

#3.1415926 < pi < 3.1415927#

He identified two rational approximations to #pi#, namely:

#22/7 = 3.bar(142857)#

#355/113 ~~ 3.1415929#

Nowadays we tend to use the following approximations:

  • #3# for a quick rough and ready estimation.

  • #3.14# or #22/7# for calculations for simple practical use.

  • #3.1415926536# or whatever accuracy your calculator gives you.

I occasionally find it useful to use #pi ~~ sqrt(10) ~~ 3.162#.

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