Puzzle time - square or circle?
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wrote on 3 Dec 2020, 23:30 last edited by
Circle.
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wrote on 4 Dec 2020, 02:33 last edited by jon-nyc 12 Apr 2020, 02:34
Circle.
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wrote on 4 Dec 2020, 02:54 last edited by
||I guess circle, but just by eyeball it.||
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wrote on 4 Dec 2020, 05:28 last edited by Klaus 12 Apr 2020, 05:55
@jon-nyc said in Puzzle time - square or circle?:
Circle.
Jon, you can eyeball that your ratio cannot be correct. According to your calculation, the circumference of the circle would be more than twice that of the square. But they are very close.
Your solution idea looks very good but I can spot two blunders.
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wrote on 4 Dec 2020, 06:01 last edited by
I’ll say this much: If your solution says the perimeters differ by more than 2%, then it’s wrong.
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wrote on 4 Dec 2020, 10:49 last edited by
Oops.
Perimeter of square = 4*2a, a=(4/5) * r
= 8 * (4/5)*r
= 6.4rSo square is bigger by <2%
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wrote on 4 Dec 2020, 11:48 last edited by Klaus 12 Apr 2020, 11:48
Precisely. Ax has the same solution when he fixes the little bug.
I found this interesting, because eye-balling seems to give a different solution.
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@Axtremus your solution looks promising, too, but you also made a very trivial error near the end.
wrote on 4 Dec 2020, 12:15 last edited by@Klaus said in Puzzle time - square or circle?:
@Axtremus your solution looks promising, too, but you also made a very trivial error near the end.
Ah, indeed I have, that’s when the tawny port kicked in.
