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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.
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sequoianoir
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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 !
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zen2007

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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!
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