What is a Radian? An Explanation

This video will make it easy for you to understand what is meant by radian angle measurements. Included is a short comparison between degree and radian angle measurement, the definition of the radian, how to complete the unit circle without memorizing all of the radian angle measurement and how to convert between radian and degrees.

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Chapters:
00:00 What is a Radian
1:05 Introduction
4:05 Definition of a Radian
7:50 Completing the Unit Circle
13:20 Converting Between Degrees and Angles
15:15 Converting Between Angles and Degrees

[AaizaMahmood]

I AM SO GLAD I FOUND THIS VIDEO this is like the best explanation of the definition ever. I used to cram the definition before and the values and now I am able to understand them! My own teacher couldn't explain it this well I love this! ❤❤❤

[joshua.hintze]

Best definition I’ve ever seen for a radian. I’ve always just known 2 pi = 360 degrees but never really understood what a single radian is. This is very helpful

[jeshika]

Thank you so much, this helped me understand where my teacher couldn't quite explain either the definition or the conversions in a way that made sense to me.

[iostechhack]

Thank you Sir. I'm a game developer, I needed to know what a radian is because they added them to the engine I use for my game.

[bloomyfractal]

I understand what a radian is now ! Thanks for this thorough introduction :D !

[justmemyselfandi]

ok, when you make a full circle in degrees do you come to 360 or 0 degrees. or you actually never arrive to 360 it is 359.9999. If you arrive to 360 and then after 360 you are at 0 then we have 361 degree circle :). Does circle have beginning and the end? what is then 0 end or beginning or can 360 equal to 0 :)

[howardg]

Great video, it's been a long time since I did much work with radians.

While I was watching I remembered one of my mathematics teachers in high school introduced us to a different measurement system but as this was way back in the 70s I can't for the life of me remember what it was called, so I thought you might. Hopefully I can explain this properly ...

While there are 360 degrees in a circle, and 60 minutes in a degree, and 60 seconds in a minute even a second of arc can be rather large at great distances (he was an astrophysicist). So his system had the circle divided into 1000 sections each of which was called a "Div" (or D), each of these was subdivided into 100 Centi-divs (or CD), and each of these into another 100 milli-divs (MD). He said this could be continued, but that it likely wasn't necessary as 1 milli-div was equal to of a circle. 

So just curious if you (or anybody else for that matter) has ever heard of this system? If so can you give me some further information on who developed it, etc?



Thank you in advance.

[palmbeach]

You are the best 👌, thank you so much from 🇧🇩 Bangladesh

[balathiyaga]

you did a good job we enjoyed the video thank you

[alejandroalmarza]

Excelent profesor and great explanations …keep your great job…. All the way from Venezuela

[tarunsood]

Thank you.. this vid really helped in my exam!

[ful]

thanks for good video, i will listen to it while i sleep at night

[CorpoWolf]

The confusing part is "radians" in the variable name.

If you said the amount of radians in a full circle is 2*π I wouldn't be confused.
But it being stated like 2*π*rad.
Why does "π rad" keep being stated? It implies to me it's different from π