who even made “degrees” like- why are they that far apart and not closer? who decided it would by 360 and not 1000 or smthn? why aren’t there metric measurements for this?

@FawnOverFun radians better

@h what,,? :>

@FawnOverFun 180 degrees is pi radians, 360 degrees is 2 pi radians

@h i do not understand this concept,,

@FawnOverFun gradian lookin

@FawnOverFun it is the same as degrees but instead of being up to 360 it is up to 2 pi (6.28 blah blah blah). it is betterer cause it has an actual basis in maths.

HOWEVER. you would probably be a bigger fan of turns. 1turn = 360deg = 6.283rad

@h hm,, how do you know this,,

@FawnOverFun cause i had geometry class

@h i did not have geometry class unfortunately i love shapes,

@FawnOverFun you love shapes but do you even know how to calculate the length of the hypotenuse of a right triangle

@h no i do not i am like 5th grade level in math tbh i am so bad,,

@FawnOverFun i was taught this in 4th grade im so so sorry to tell you this

@h @FawnOverFun Pythagorean Theorem :3

@h i probably was too,,

me vs trying to remember any mathematical concept that isn’t “if you times anything by ten you just add a zero”

@h @FawnOverFun

hazel do you know about the sine and cosine rules

@pinkcreeper100 @FawnOverFun june was homeschooled and . wasnt really taught much so im teasing that she doesnt know these things

@FawnOverFun ancient Sumerians I think

@pinkcreeper100 @FawnOverFun yes i was also taught this, very many quizzes were “you have two side lengths of a triangle and an angle! get the other sides length!” and such

@FawnOverFun they used base 60 math, so 360 was a useful number to base the divisions of a circle on, evenly divisible by 60, by 24, all the numbers needed to divide a day into hours and minutes on a 360 degree circle

@pinkcreeper100 @h then i learned this and didn’t remember what it was called,,

@FawnOverFun @pinkcreeper100 i was put in the accelerated maths classes, fell back, then got put in the accelerated classes again, and then fell back, for like 6 years in a row 😭

@FawnOverFun
I mean tbf having the number you set as a maximum for your angle counting system be divisible by 2, 3 and 5 is pretty useful. If it were, say, 1000 and you wanted to split a circle in three equal arcs the angles would have to be like 333.3 repeating and that just straight up sucks.

@AppleAmps @FawnOverFun i have nothing against repeating numbers

@FawnOverFun
Like, for more pure mathematical concepts like angles and not more physical concepts like distance you really *do* wanna have as many prime factors as possible.

@AppleAmps @FawnOverFun should be obvious given my advocacy for radians

@h @FawnOverFun
I do! My calculator doesn't have a vinculum button so if I wanna use a repeating number I either have to type it out as a fraction or round it up/down, both are bad. Using a counting system divisible by 3 is the way to go.

@AppleAmps @FawnOverFun what the fuck is wrong with using fractions

@AppleAmps @FawnOverFun base 2 is the best way to count

@h @FawnOverFun
Dawg if I wanna plug the angle of something into a formula it is *infinitely* easier to just put 120⁰ then express it as 1000/3.

Especially if I have a formula with angles on either side of a division and have to do something like this.

Hell, if I'm using a calculator than can only display inline division suddenly I gotta start using like 4 sets of parentheses a piece just to make sure nothing is fucking up something else, which then turns what I'm calculating into a labyrinthine mess that isn't readable at a glance.

@AppleAmps @FawnOverFun i am not advocating for a 1000 system lol i never said that.
im advocating for using whatever system is most convenient in the moment but also saying that fractions arent bad

@h @FawnOverFun
And if I just use decimals and display 1000/3 as 333.33 suddenly the answer is gonna be slightly different, and like if you're calculating something with a lot of separate formulas those small rounding errors really start to compound after a while.

@h @FawnOverFun
Yeah! But fractions *are* bad in this case, they are a symptom of repeating numbers just not being easy to work with.

@AppleAmps @FawnOverFun no!! fractions are not bad in any case!! they take slightly more characters to describe and that is perfectly fine!!!!!

@h @FawnOverFun
Like, you asked "what the fuck is wrong with using fractions" and I told you what the fuck is wrong with using fractions, that being that they turn calculating stuff into unknowable mush.

@AppleAmps @FawnOverFun and repeating decimals are cool too (and aesthetically preferable) when youve got the ability to use the vinculum

@h @FawnOverFun
But like the actual syntax of them is really hard to work with if not used sparingly!

@h @FawnOverFun
I have literally never seen a calculator with the capacity to vinculum a number.

@AppleAmps @FawnOverFun its not unknowable, you can still describe it! its just “less convenient” which is not something that concerns me. 1/3 (if it were out of 1 such as with turns) is just as easy as 120deg, for example

@AppleAmps @FawnOverFun there are cases where you may want to write a number that isnt just typing it into a calculator

@h @FawnOverFun
Also if you're calculating like the different values in an electronic circuit, especially if you're prone to checking your own work, those extra characters and extra parentheses and extra time necessary to tell a calculator image A is different from image B really *do* add up.

@h @FawnOverFun
Unknowable as in unreadable at a glance, obviously you can still describe it in a mathematical sense but for all practical applications of mathematics in, say, physics or electronics simpler is better 100% of the time.

@h @FawnOverFun
Yeah, but I would argue in terms of using math for actual real world applications numbers are just gonna be a thing you type into a calculator most of the time.

@AppleAmps @FawnOverFun look- i just feel for 1/3 on a deep personal level and i will not accept hateful comments towards it and others of its kind

@AppleAmps @FawnOverFun mhm in which case you wouldnt use a vinculum. i just prefer the aesthetics of it when applicable

@h @FawnOverFun
I'll stop hating on it when it stops screwing me over on electronics worksheets.

@AppleAmps @FawnOverFun and i’ll always be there to give 1/3 the hugs it deserves

@h @FawnOverFun The best part of radians is that they’re unitless ratios, so dimensional analysis lines up.

You could also meet in the middle if you described fractions of a rotation. Or factor out Tau from your radians and treat it as a pseudo-unit.