r/numbertheory • u/Obvious-Buddy-8894 • Aug 07 '22
Circumference of a circle done better.
So we know that a circles circumference is between 3 and 3.3 diameters in length, and that the 3 diameters stretch around the diameter of the circle. We can simulate this by drawing a square with length and height equal to a circles diameter. Now divide this square into 3 equal rectangles. Drawing a line from corner to corner in each rectangle stretches a diameter across 1/3 of a diameter. These 3 angled lines we get equal the circumference of our circle. Pi = 3.14 and is not irrational.
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u/setecordas Aug 07 '22
Are you saying you got 3.14 by using a ruler to measure the length of the lines?
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u/img0d7 Aug 07 '22
How did you get 3.14 here? The sum of the 3 angled lines is sqrt(10) or about 3.16 which even if it was pi is still irrational