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Fibonacci numbers, circles, squares; everything is connected in the digital world. Can you make two squares from a circle? Seven decimals should be accurate enough.

Which two numbers am I seeking?

I already accepted an answer, but to be more clear:
I want to see a Fibonacci number > 10 in the answer. After all, who associates e.g. 2 with Fibonacci at first sight. Mentioning decimals is to make it easier, since it won't work with less, and it hints to the most doubtful connection in the puzzle.

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2 Answers 2

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As in Gareth's attempt, the goal is to

use the digits of 3.1415926 to make squares.
The squares we want are 1156 (34^2) and 3249 (57^2).

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  • $\begingroup$ Fibonacci was there to filter out solutions like 11, 186, and as a hint that I wanted the roots, but squares is good enough (Though in hindsight I did not check if duplicate solutions with 1,2,or 3. exist) $\endgroup$
    – Retudin
    Sep 1, 2020 at 14:27
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This question seems a bit "guess what I happened to be thinking of"-y, but: If you consider "a circle"

to mean $\pi$ (which is e.g. the area of a unit circle)

then those "seven decimals"

get us 3.1415926

in which

4 and 9 are both squares.

I'm not sure whether

the fact that 3, 1, 5, 2 are all Fibonacci numbers is supposed to be significant, given that the question mentions Fibonacci numbers.

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  • $\begingroup$ almost there, you are supposed to use all digits somehow $\endgroup$
    – Retudin
    Sep 1, 2020 at 13:30

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