• RandomStickman@kbin.run
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      8 months ago

      I think it’s because no matter how many corners you cut it’s still an approximation of the circumference. There’s just an infinite amount of corners that sticks out

      • marcos@lemmy.world
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        8 months ago

        There’s just an infinite amount of corners that sticks out

        Yes. And that means that it is not an approximation of the circumference.

        But it approximates the area of the circle.

    • Zerush@lemmy.ml
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      8 months ago

      It’s a fractal problem, even if you repeat the cutting until infinite, there are still a roughness with little triangles which you must add to Pi, there are no difference between image 4 and 5, the triangles are still there, smaller but more. But it’s a nice illusion.

    • ArmokGoB@lemmy.dbzer0.com
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      8 months ago

      Because you never make a circle. You just make a polygon with a perimeter of four and an infinite number of sides as the number of sides approaches infinity.