Twoafros@lemmy.worldcake to No Stupid Questions@lemmy.world · 8 months agoMath question: how do we get an irrational number pi from the ratio of circumference and the diameter of a circle?message-squaremessage-square41fedilinkarrow-up10arrow-down10file-text
arrow-up10arrow-down1message-squareMath question: how do we get an irrational number pi from the ratio of circumference and the diameter of a circle?Twoafros@lemmy.worldcake to No Stupid Questions@lemmy.world · 8 months agomessage-square41fedilinkfile-text
minus-squareSkyezOpen@lemmy.worldlinkfedilinkarrow-up0·8 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?
minus-squarederekabutton@lemmy.worldlinkfedilinkarrow-up0·edit-28 months agoC=pi*D means that you need pi diameters to make the length of the circumference. Does that clarify?
minus-squareAlteon@lemmy.worldlinkfedilinkarrow-up0·8 months agoNope. The equation is P=πD. Meaning the Perimeter is equal to 3.14 times the length of your Diameter. You can visualize it here: https://m.youtube.com/watch?v=1lQfERPjkzk
minus-squareSkyezOpen@lemmy.worldlinkfedilinkarrow-up0·8 months agoRight, so you’d need 3.14 strings of length D to cover the circle, D wouldn’t wrap around it itself.
minus-squareAlteon@lemmy.worldlinkfedilinkarrow-up0·8 months agoIt was implied that it would wrap around the circle. I’ll update original post to clarify better.
minus-squareSkyezOpen@lemmy.worldlinkfedilinkarrow-up0·8 months agoYeah that’s what I gathered, but it’s backwards. C = Pi D means you need pi strings, not that it’ll cover the circle pi times.
minus-squareAlteon@lemmy.worldlinkfedilinkarrow-up0·8 months agoAhhhh. I see what your saying. It’s fixed. Yeah. Did not mean to intend that it wraps fully around the circle pi times. Good catch.
Isn’t that backwards?
C=pi*D means that you need pi diameters to make the length of the circumference. Does that clarify?
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: https://m.youtube.com/watch?v=1lQfERPjkzk
Right, so you’d need 3.14 strings of length D to cover the circle, D wouldn’t wrap around it itself.
It was implied that it would wrap around the circle. I’ll update original post to clarify better.
Yeah that’s what I gathered, but it’s backwards. C = Pi D means you need pi strings, not that it’ll cover the circle pi times.
Ahhhh. I see what your saying. It’s fixed.
Yeah. Did not mean to intend that it wraps fully around the circle pi times. Good catch.