/sci/ - Science & Math

Why is half a circle pi radians? Pi is defined as circumference over diameter, so I don't understand why one full rotation is 2pi instead of 1pi

What's the advantage or radians over regular ol' degrees?

In my country in highschool you can take different 'levels' of maths, and the degree I want requires a higher level with a higher score than what I did when I was in high school, so now long after high school I'm taking a course to retake this highschool exam in this higher 'level'.
Last lesson the teacher said in relation to trigonometry that we'll be using radians instead of degrees, it's not very difficult to just replace any mention of degrees with radians (so 180°=π, 360°=2π, and so on) but I've never encountered radians in the lower level I took in high school and it's pretty unintuitive to me.
So now I want to "get it" better instead of just memorizing that π is the same as 180° and copying off my calculator, and I was hoping you could help me.
to clarify, I don't have a choice between radians and degrees, in these exams I'm expected to use radians, so this question is less about convincing me radians are great and more about just me trying to wrap my head around them.

>high crime among black populations is a cultural issue, not an evolutionary one

>>7975463
and angle is the number A so that
R.A = length of the arc on the circle of radius R, with angle A

OP is not a bright HS student....

>>7299898

Gif explanation made by lucasvb

This gif.

Maths, physics, chemistry, technology...

>>6931085
A Carnot engine moves 100 kilojoules of heat and rejects 37 kilojoules. What is the temp of the cold reservoir if the heat reservoir is 370 Celsius?
I can't remember how exactly the original question was worded.

I forgot how to do this type of question so I figure it might have to do with efficiency and put in 230 Celsius as an answer.

What can be concluded about the merit of a test item which was answered correctly by 246 of 300 of well prepared students and correctly by 165 of 300 well prepared students? A test item is considered good if it discriminates between well prepared students and poorly prepared ones.

What am I supposed to do?

>>6741805
>>6741805

https://www.youtube.com/watch?v=Hi7nck1XcSs
Really compelling shit.
Because massive objects can be compressed, mass in the universe is negligable and can be ignored giving the following earth-shattering result:
<span class="math"> E=mc^2[/spoiler]
<span class="math"> E= \lim_{m \to 0} m c^2 [/spoiler]
<span class="math"> E=c^2 [/spoiler]

Not only does this defy mathematics, it defies basic observation, but is nonetheless true.

>>6697499

>>6602747

>arc
would there ever actually be one if there was an infinite radius?

can we get a math gif thread?

Basic but interesting to watch.

/sci/, give me a random number between -∞ and ∞
you can't