perplexus.info :: Numbers : Getting closer to your pie

Getting closer to your pie (Posted on 2017-09-04)

Approximate pi (=3.1415926535..) using three decimal (not necessarily distinct) digits.

2 remarks:
a. Only standard algebraic operators and symbols allowed, i.e. no "!", "log", "sqrt" etc
b. Stay within the .3% error margin.
c. What accuracy of approximation is possible if a. were waived i.e. "All (except "pi") standard algebraic operators and symbols allowed,e.g. "!", "log", "sqrt", "phi", "e" etc?

No Solution Yet Submitted by Ady TZIDON

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re: A little less obvious, for part c

| Comment 5 of 10 |

(In reply to A little less obvious, for part c by Charlie)

Ingenious and perfectly true, Charlie, but that doesn't strictly conform with the problem's requirements.

First, as you observed, it is exact so it isn't an "approximation" (although I guess, over good single malt Scotch, we could debate whether an exact definition does or does not conform there!)

Second, and more to the point, ln(-1)/i doesn't include 3 decimal digits.

OK, so it's picky, picky picky ...

Posted by JayDeeKay on 2017-09-04 20:16:24

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