This is a bit of a weird one. This is a big issue that has been dated back to the time of Ancient Greece called "Squaring the circle". It has been proven as a fact that it is impossible to have a square with the same area as a circle when using a compass and straight line because for that to be possible, then PI would have to be a non-transcendent number which is has been proven to be. The area of a circle is πr² and a square is l², so if the two were equal, then it would be πr²=l².
If we get the square root of both sides, then √πr=h. In order for the two areas to be the same, you'd need to find a way to make PI not be infinite... I also wrote all this a few hours ago, but I forgot to press "Post Comment", so it's just been sitting here in a tab.
6Reply
deleted
· 6 years ago
Well you need to go 360° to return to the original direction which just defines a shape so yeah they’re both shapes
That is... so completely incorrect that I have to comment. The total interior angles of a triangle comes to 180°. According to your logic, triangles are not shapes.
·
Edited 6 years ago
deleted
· 6 years ago
I at no point said interior angles, let’s take a 45-45-90 triangle okay? You turn left 90° then left 135° (the first 45° angle) then turn left again 135° to return to your starting point. That adds up to 360°. I’m not incorrect I just think you don’t understand. If you walk around in a triangle to return to your original direction you must rotate 360°
I don't understand why people can't just realize that triangles don't really exist. It's Adam and Eve not Hexagonal and Dodecahedron. I couldn't find a shape that rhymed with Eve.
That would have worked. It's more of a description for a subset of a shape though. Like an apple is a fruit and a granny smith is a subset of that fruit.
If we get the square root of both sides, then √πr=h. In order for the two areas to be the same, you'd need to find a way to make PI not be infinite... I also wrote all this a few hours ago, but I forgot to press "Post Comment", so it's just been sitting here in a tab.