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How is it possible to determine the area of a circle? If pi has been calculated to 1.24 trillion places, and counting, surely the calculated area of the circle grows, albeit infinitesimally, every time the calculation of pi is extended.

Question #25026. Asked by Linus. (Dec 09 02 8:39 PM)

sequoianoir

It does not have to grow just because another decimal place is added to the end.
If the last decimal place of the 1.24 trillion places already calculated is 7, the next calculation might change this to a 6 followed by 999999999.
The last digit is never guaranteed !

 Dec 09 02, 8:44 PM
zen2007

Every time a new digit is added, it is significaltly less than the preveous one!

e.g. - a circle with radius 7.
#1 - 7^2 (squared) = 49 -- 49 x 3.14 = 153.86
#2 - Same -- 49 x 3.1415926535 = 153.86 + 0.78040021
#3 - Same -- 49 x 3.14159265358979323846264 = 153.86 + 0.78040021 + 0.00000005

You begin to see the pattern!

Besides, you would need a big calculator to have 1.24 trillion digits of pi on it! My calculator only has ten digits of pi on it, but it still works well enough for me!

 Jun 04 07, 3:46 AM

 PI has now been calculated to 1.24 trillion places. Most people use 3.142 for decimal calculations, or 22/7 (3 and one seventh) as a vulgar or simple fraction. 22/7 = 3.142857.... but PI actually starts 3.1415926535. Now 355/113 = 3,14159292 . This makes 355/133 better to use than 22/7 The further you go, you come up with yet another fractional representation that is better than the last. Which fraction is nearest to the 1.24 trillion decimal placed PI ?

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