Degrees and Radians : Switch Between Them

Converting Between Degrees and Radians Made Easy!
In this video, we dive into converting angles between degrees and radians. We start by establishing the fundamental relationship: π radians equals 180 degrees. From this, we learn how to convert any angle from degrees to radians and vice versa. We’ll work through practical examples like converting 120° to radians and 𝜋/4 radians to degrees, making the process simple and intuitive. Understanding these conversions is crucial in trigonometry and calculus!
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#Trigonometry #DegreesToRadians #Radians #AngleConversion #PatrickJMT #MathHelp #LearningMath #TrigonometryTutorial #Calculus #STEM #Mathematics #MathTutorials #Conversions #TrigonometricFunctions

[@BR549DBH]

Thanks for this. My son and I are learning C programming language and it does not work with degrees but with radians. Since I graduated in the mid 80's from high school, I forgot all about it. Now I can look like a hero to my son because I know how to convert it now. I will slip some credit back to you. Thanks.

[@emily9917]

You explain radians in a way that makes it EASY TO UNDERSTAND, INTERPRET, & APPLY!! Finally!!!! Thank you!! Everybody else skipped some very important little things that either make or break this concept.

[@uhoptrumpetplayer]

Thank you! I'm in pre calc working on converting rectangular to polar and we had express angels in radians which I've had trouble with for the longest and this was exactly what I needed to figure it out

[@chrischrischristina1]

Im taking my math final tomorrow and your videos are helping me SO much. Thank you!

[@patrickjmt]

@sh3lieMa3 you are very welcome

[@Dahlia0Evans]

Thank you so much for uploading this, I've been having trouble in my trigonometry class and this helped me a lot.

[@MileyJonas]

Thank you!! You simplify everything and I will probably get through Functions, Statistics, and Trig this year! Too bad I didn't find your videos last year!

[@TheWavyGravy42]

you save lives everyday. thanks math Superman

[@patrickjmt]

@lumierebunny grab some popcorn and have fun : )

[@ielizabethm2]

Amazing, I missed 2 classes since i had the flu, and this just covered the chapter i missed! Again, I thank you for everything. Keep doing this, all the students would likely pass because of you.

[@patrickjmt]

@Bohique24 come back and watch any time : )

[@lexibru]

Thank you, thank you, thank you so much!! My teacher explained going from degrees to radians by logic, and I did not understand. Mathematically, this makes so much more sense =). I was wondering if you also have a video on going from degrees back to radians?

[@LitLeadBettor]

You sir just may have saved my entire year of trig!

[@patrickjmt]

gotta learn to work with fractions! useful stuff

[@SpiralAddiction]

Man thank you so much, this will really help since im taking trig next semester

[@TheBrandicus]

I wish you were my Professor.

[@willseleven1]

Sir have you ever thought abt using computer apps for demonstrations? you are one of the best teachers i have see on youtube and i think you should practice these on computer apps. I m sure you are smart enough to learn those apps pretty quick. there is nowt wrong with the way you are doing now but i thought it might save your time by recording these striaght on computer. thanks for all the videos

[@etpiersel]

This is helping me soooo much with my homework right now lolol. Keep up the good work.

[@LaffyTaffy19955]

You definitely helped me big time for my test! thanks

[@oxymoronn07]

its so quiet u can hear the clock clicking lool patrick thank you so much :)

[@gnic120]

so for the last one you did, would theta equal 2/3 pi? this video is very helpful, i'm just making sure i've got the hang of it!

[@bumeis]

Thank you very much for this video .. you really know how to transfer info into my head .... thanx a lot for that .. cheers

[@songrichard99]

I'm deeply sorry. I appreciate your help, partickJMT. Thanks for uploading this video. Thanks

[@MyCraniumIsShrinking]

Wow, I was so confused before this video. Thanks so much, I finally understand! You're an awesome teacher =D

[@MyDawgsKiller]

the dislikes are from teachers mad because this guys a better teacher than they are... lol.

[@PJStein]

Excellent explanation!

[@jejomarieshwantelandres2019]

I like you penmanship, and your left-handed. :) BTW, thanks for the video.

[@DanCuthbertson]

Good sir.......your handwriting is that of the gods.

[@r3tr04ct1vsp1drs]

Amazed by your writing, I wish I could write/draw that cwell :(

[@josufergysk8s]

you're better then my actuall 11th grade math teacher

[@tokiohoebunny]

Oh my god thank you SO much! This was SOOO HELPFUL!!!

[@Hudafck]

The video is still ok.. Its not the quality of the video but the quality of knowledge we get.

[@matthewwroblewski8752]

Set my degrees to 1: convert. Time to "plug -n- chug", i.e., s=r*theta. Thanks professor pat!

[@RozuHime]

Thanks for making this video!

[@sh3lieMa3]

this made my hw easy tonight. thnx!

[@xelionizer]

Very nice tutorial indeed! Thanx patrickJMT :p

[@Lightquick77]

Why can't my math teacher teach like this? :P

[@khaledkaaki6113]

thanx man helped me a lot !

[@patrickjmt]

don't tell your hubby

[@ALMALAWI]

beautiful

[@xkuchex]

THANK YOU SO MUCH ~You made this so much simpler for me !!!

[@vincentdilu6811]

thanks Mr.

[@Koldness99]

thank you, I understood this better than my trig teacher

[@milenac.4211]

Thank you so much!

[@OncieDelms12]

Thank you so freaking much! I understand it now. :')

[@gangstagrlz]

THANK YOU SO MUCH! you saved me from dying in pre calculus! haha

[@patrickjmt]

@willseleven1 i

[@patrickjmt]

@dkat16 ha, something like that!

[@JohnWilkinsonTesla]

@screamscream12345 I think If he mention the relation between Circumference and Diameter and the formula AND that there are four quadrants and 2 radii (making the half, whole, one and a half and 2) - it would make the formulae a lot easier to understand.

[@missIris22]

you sir. Is my Hero!

[@KaylieMarie2]

Thank you sooooo much!!!! I was lost and this really helped(:

[@ParaWalker96]

really helpful thank you!

[@gellybelly2]

Great explanations. Thanks :D

[@nguyet394]

Wow, Everything makes sense! Thank you. Ill be watching other videos! :D

[@litcy02]

i will have to admit, what i learn in two weeks at school, i can learn it here in 10 minutes ^_^

[@omkargurav782]

looks much less complicated than my textbooks! thnx sir!

[@SusannaJ]

wow ure good..u remind me of my old math teacher mr seigel.

[@sp3300]

This really helped a lot:)

[@abooody219]

very easy thank you doctor,it is realy helpful

[@dijonstreak]

YOU....ARE........YHEE BEST. ! very much appreciated..thank YOU. so much. !!!!

[@patrickjmt]

You're welcome!

[@patrickjmt]

@screamscream12345 ha, not quite : )

[@arhodes18]

Why is it that radians must be used in calculus instead of degrees? I read somewhere that it has to do with the fact that degrees are essentially a made up unit whereas radians just work so to speak, but i still don't fully understand it.

[@lolster121301]

Thanks you so much!

[@coreyharris9592]

This just saved my grade

[@Zahidah13]

OMG THANK YOU!! I finally understand!

[@spa342]

omg im gonna pass math now thank God ive found this

[@codosacho5924]

but the question here to use a radian it must be of radius 1 otherwise 360 degree wouldnt be equal 2 pi ??

[@harrispramuk8882]

Codo Sacho it's the unit circle; radius is 1

[@topg477]

Watching it in 2017

[@omam2011]

Thank You very much

[@mariamawilson5023]

I wouldn't be passing my math classes if it wasn't for you...I think non of us have.

[@billalstife9176]

Thank you

[@patrickjmt]

@miyan12 wonderful : )

[@hangv001]

omg, i love you! I finally understand !YES!

[@MystyXsoul]

Brilliant!! Thanks =)

[@Rakasava]

dude.. I love you

[@vaibhavyashu]

U ROCK MAN!!

[@khenjieo16]

this vid will help me for my prelim exam tomorrow!! XD

[@Topher2]

4:18, bam!

[@minhtunguyen2078]

beautiful circle........

[@poyanator]

I really struggle when it comes to the part where you have to work out the end fraction. i look at 120 and 180 and go blank 0_0 what should i do?

[@LovingmySavior]

thank you so much- that is a good circle too! haha

[@borngamer0007]

thanks a lot

[@patrickjmt]

hhaah, such a nice person :)

[@ijustwannabeadrummer]

ty

[@soksan5852]

Confused, radian is distance, how can distance equal to angle?? While Angle is the different unit??

[@Bezerk_DaJerk]

i didnt get any help from this where are the odd or weird numbers like 72 or 202.5 how do you find stuff like that

[@PeaceLoveFairytales]

OMG. this is the chapter that I need help with the MOST!!! LIFE SAVER? I think so? god? maybe...

[@Peanutscakes]

Your left handed :D

[@JaeMaJic]

oh my gawd. I dont see how we are multiplying...it seems more like division. Is there a way to do this with the "science" conversion method....

[@JOjOJojo-wr2od]

Still works in 2018 XD THX

[@exfranzskater]

this video helped alot. thank you. i hate fractions...if only everything could be done in decimals :(

[@ryanpomy]

@screamscream12345 AGREE! WHERES THE LIKE BUTTON

[@MrSackinator]

You said multiple each side by 45 but you divided 180 by 45..... wtf?

[@JohnWilkinsonTesla]

Yeah, I took a second look at what I wrote and realized I was being a dick. "Don't be a dick" - Anonymous

[@lovely2626]

what is 155 degrees in radians?

[@khenjieo16]

..nice!! thanks for this vid!! XD

[@KJ_XCV]

Hey! Im al lefty too

[@ryanpomy]

YOU ARE GOD! I totally agree with the comment under mine!

[@EthanCotter]

haha their better than my circles... =S

[@candygir87528]

@ryanpomy whoah now. lmao