Logical numbers?
Alteon@lemmy.world 7 months ago
What’s interesting is that no matter how big or how small your circle is, pi is a constant ratio of the diameter to the perimeter (or circumference) of your circle. If you were to cut a string to the length of your circle’ diameter, it WILL ALWAYS wrap around by 3.14159 (or π times). That’s where that number comes from.
Because of this ratio, there will never be a situation in which both the diameter and circumference are both logical numbers at the same time. Either your Diameter is a logical number or your circumference. For example:
P=πD
If D=1… Then P=π(1) or P=π
If P=1… Then P=π(1/π) where D=(1/π)
amio@kbin.social 7 months ago
Alteon@lemmy.world 7 months ago
*rational
Good catch. Fixed. I apparently suck with words sometimes. Intent good. Execution flawed. :)
SkyezOpen@lemmy.world 7 months ago
If you were to cut a string to the length of your circle’ diameter, it WILL ALWAYS wrap around by 3.14159 (or π times).
Isn’t that backwards?
Alteon@lemmy.world 7 months ago
Nope.
The equation is P=πD. Meaning the Perimeter is equal to 3.14 times the length of your Diameter.
You can visualize it here: m.youtube.com/watch?v=1lQfERPjkzk
SkyezOpen@lemmy.world 7 months ago
Right, so you’d need 3.14 strings of length D to cover the circle, D wouldn’t wrap around it itself.
Alteon@lemmy.world 7 months ago
It was implied that it would wrap around the circle. I’ll update original post to clarify better.
elbowgrease@lemm.ee 7 months ago
huh - I never thought of it that way but of course it makes total sense.
I love this question - simple but thought provoking!