Take a sheet of paper, a straightliner and a compass.(adsbygoogle = window.adsbygoogle || []).push({});

Make a cylinder out of the sheet of paper and use the compass to draw on the cylinder a "circle" with the same radius as the cylinder (let's put that radius R=1(whichever unit you want)).

Unfold the sheet and take the big axis of the closed curved obtained. One can show, this length is : [tex] L=\frac{\pi}{3} [/tex].

Triple this distance with compass, and you can now construct a square which perimeter is [tex]4\pi[/tex]

Now construct a circle of radius 2, and you built a circle of same perimeter as the square above....

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# Try to find out what this is :

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