I'm 61 years old and I congrat this amazing man for this fantastic teaching, I love it and it bring me 40 years back but it is so easy to undrestand the math. wawwww thank you so much
5:32 There's a big take away from this point and it reveals how good this teacher is. There's a genuine effort for intuitive understanding of these concepts which helps A LOT.
This guy is such an amazing teacher. I'm half way through my calculus course and I've learned more watching a few of his videos than I have in the entire course.
You really are a fantastic teacher. This probably comes from your highly technical background, but you have an excellent ability to bring genuine meaning to these concept at a simple level even when the material becomes complex.
Enjoyed your videos immensely.in the span of a few I’ve learned more in math fundamentals than I learned in H.S. And college .highly recommend your videos to students who have a hard time wrapping their mind around trigs and geometry etc ....you made so easy to understand .they should also be required and essential viewing for high school teachers .they know their stuff but they know NOT how to teach ..fantastic job .
I find this channel highly informative. I started watching so I could help my son with his geometry and Alg II. Even though I have an engineering degree, this has really helped me refamiliarize so I can explain things better to my son. Keep up the great lectures👍
I never seen such a wonderful maths teacher. It's my humble request to you, please start a video series of essential maths for Data Science/ Machine learning
I have watched so many videos trying to understand the concept of radians and every single one of them have butchered the heck out of it. Finally someone has made it so I can understand this concept!
I enjoyed this my friend. I have had a leaky brain for most of my 57 years. Due to a lot of effort I have cured myself of this problem. My ambition is to fully understand the theodolite and spend my free time measuring things. Brilliant and thank you
Good day Sir. I'm an educ student and so far, your discussion is easily comprehended by students. Thanks for explaining. It helped me a lot in understanding and not just memorising the value of circle.
Thank you so very much! You have opened up a world I thought had been closed to me for most of my life. I love your clear explanations and real-world examples. For the first time in 55+ years, I am beginning to understand the delightful world of math.
The only guy who studies in an Indian school loves the lecture of an American teacher. Thanks from India for your conversion in terms of rad to angle visa versa
I'm in my college 2nd year and still scared to death because of maths. but after i watched this . i found maths much more interesting than any other subject
To better understand the conversion table is for me to see a relationship and that relationship is a ratio of 30° (π r)/180°. The degrees cancel out. 30(π r)/180 = π/6 radians. I think it helps when it makes sense of what the conversion table is doing.
I am sorry man I do not have a word to thank you...you Just open the eye of an Adult student and I am sure that younger student are thanking you as well, I take off my Mexican hat for you........cheers
I just love the way he explains stuff. I know all of this yet here I am going through his videos and thoroughly enjoying them. I particularly liked his universal conversion method and will be adopting it.
One thing wasn’t mentioned that I think is helpful that the if one takes the length of the radius and bend it around the circle that rad angle is 1.0 why it’s called radian. Great video.
Absolutely right, that is how the radian is defined. It is the angle subtended by a length of an arc equal to the radius of that circle. That is how the value of Pi becomes 3.14...
Jason if you pass on your pedagogy to other math teachers, many students would go to study STEM not because they need to but because they want to. I think mathematical intuition brings creativity and understanding while task based and exam based teaching reduces the field into something that may bore an average student.
Hellow prof... Its a great lesson for every student learning maths+engineering... Can easily solve conversion of radians to degrees and degree to radian. Can you kindly please upload a vedio on how we get thats numbers. Underroot(2), 1/2 etc...
hat off for you Sir!!!!! You are such an extraordinary professor. You make things so easy to understand. You ate a legend and we love you. You are making a better society by your teaching Thank you thank you thank you
I've mentioned before and I'm going to keep saying it again n again each time I keep watching all your lessons ! You are an awesome teacher ! Words cannot express the appreciation for the great amount of time , effort n dedication you have shared in educating the world ! Thank you n may God bless you always 🙏😇
I'd love to have this instructor as my talking calculator. He's really into the subject and knows it well for sure. But college days are long gone so now I can just watch...
Very useful video, many thanks. The 360 is multiple of 60, ...60×6. And 60 can be divided by many numbers , from there the minute is 60 seconds and the hour is 60 minutes...etc
Convert from Degree to Radians >>> Add Pi beside the number & Divide by 180. Example: 45 Degrees, Add Pi beside 45 & Divide by 180, then >>> (45 Pi/180) Rad = Pi/4 rad Convert Radians to Pi >>> Remove Pi from the number & Multiple by 180 Example: (3Pi/2), Remove Pi & Multiply by 180, then >>> (3/2)*180 = 270 Degrees
I am the student, but I do not understand why the circumference is 2 pi. I read the description. As I was thinking about it, it became clear. Because the diameter is not one, it is two. O man, this is good.
I simply learn with no understand till I finish my matrix and 11.. now I understand this alot. N can b used in 12 grade I guess . Love yr teaching alot.. pls do more videos for chemistry, physics and mathematics 😍
For those who still found this weird or difficult to absorb- Instead of angle degrees which is a made up division by our ancestors (360degrees ) we simply use a mechanism that is more fundamental. Because we measure angles from the idea of a circle we can use it's radius to act as the base unit. We ask how many radius lengths fit around the outside of the circle ? this equals 2*pi. So no matter what circle we always have 2pi radius worth of length around that particular circle. Now the interesting thing is ,this is not as tidy as 360 perfect degrees around a circle because 2pi is irrational . This means the circumference calculations are approximations . So too is area or anything using pi as a number. The most basic concept is using how a circles radius fits around its perimeter is a universal division method for all universes that have a circle
I am somewhat new to Trigonometry. However, it seems obvious to me that. Another way to look at and remember the Radians in the first quadrant. Is π/6 is 1/6 of π, a half circle or 180°. π/4 is 1/4 of π, a half circle or 180°. π/3 is 1/3 of π, a half circle or 180°. π/2 is 1/2 of π, a half circle or 180°. It's exactly what it is. It may not be as obvious as you go around the Unit Circle. 3π/2 is Three half circles divided by two. Or one and a half circles, divided by two. 3/2 or 1 1/2 divided by 2. Which is of course is 3/4 of the circle and 270°. 5π/4 is 1and 1/4π or half circles 225°. 2π/3 360°÷3 120° Or 2×180°÷3=120°. 3π/3 does reduce as you said. To 1π or π which is 180°. Although 3×180°= 440° and 440°÷ 440°=1, in this case π. As you said one half circle, or 180°. 4π/3 reduces to 1 1/3 π 240°. 5π/3 reduces to 1 2/3π 300°. 180°+ 2/3 180° which is 120 totals 300°. 300° is also Five sixths of the circle. 6/6 of a circle is obviously a whole circle 360°. Even though 6π totals 1080°. 1080°÷1080°=1in this case a full circle. Which makes sense why some prefer to use degrees. 6/6 of a circle intuitively should total 360°. I think the 1080° along with the increments leading up to it will make more sense. As I learn more about Trigonometry and it's related subjects. Although I may have lost some people describing this. I hope this helps. It wasn't my intention wasn't to negatively critique you or the contents of this video. I enjoyed it. As well as all of your other videos I have seen. I think you did a great job of explaining everything. I have only seen a small number of your videos. However, I have found them to be very informative. Thank you for this video. As well as all of your other ones.
I learned that the reason there are 360 degrees in a circle is because ancient civilizations used 360 days in a year for crop harvesting. The earth’s path being a orbital circle around the sun. The earth itself is divided into 360 degrees in longitude and latitude, then 60 minutes to a degree, and 60 seconds to a minute. Which brings us to the clock. 24 hours to a day which is split in two for two twelve hour parts to a day…which is 60 minutes to an hour, 60 seconds to a minute…which 360 is divisible by all.
Nice! The reason 360 was chosen and used is because it is easily divisable by a lot of factors, including all the important numbers on a clock. It just made sense. I like your story :)
360 may have been chosen but it has many fundamental properties, ones that few other numbers possess, making it an excellent choice. Probably the best possible choice, practically speaking.
Repetition + multiple methods = learning by example Or Geniuses = problem solved by the base root of resolve. Fantástico excelente magnífico instrucción. Thx
Very clear explanation of an otherwise complicated topic. At the risk of muddying the waters I noticed that you didn't bother to explain that an angle, θ, is defined as the ratio of the arc length, s, of a segment around the perimeter of a circle (an arbitrary circle) to said circle's radius, r such that θ := s/r (and that because an angle is a ratio of one distance to another distance, angles themselves are dimensionless.) Hence an angle of 1 radian corresponds to an arc length equal to 1 radius. 1 = s/r --> r = s. It's okay in my opinion that you skipped this bit at an introductory level because it wasn't explained to me this way until freshman physics in college. However, once I saw the concept of angle in this light all the trigonometry I had stuffed into my head in high school made instant sense.
For those that use Microsoft Excel, there are built-in functions available to convert degrees to radians and vice versa. Some calculators have special keys to make the conversion simple.
![Radians, Arc Length & Sector Area of a Circle - [2-21-1]](http://i.ytimg.com/vi/lcuxPNBXhlY/mqdefault.jpg)
I'm 61 years old and I congrat this amazing man for this fantastic teaching, I love it and it bring me 40 years back but it is so easy to undrestand the math. wawwww thank you so much
5:32 There's a big take away from this point and it reveals how good this teacher is. There's a genuine effort for intuitive understanding of these concepts which helps A LOT.
I'm 53 years old
This instructor is a very good instructor. His words are not masked in felgercarb. Many teachers can learn from his example.
First like for the best teacher ever
Thank you so much - I really appreciate it!
What IT IS GENIUSES OF SPIRITUAL INDIANS ..GOD BLESS YOU ALL
Never thought I'd get so excited to watch math in 4k but here we are
Thanks to master
This guy is such an amazing teacher. I'm half way through my calculus course and I've learned more watching a few of his videos than I have in the entire course.
You really are a fantastic teacher. This probably comes from your highly technical background, but you have an excellent ability to bring genuine meaning to these concept at a simple level even when the material becomes complex.
I'm 75 and rather than do cross word puzzles i do math. I never learned about radians. I wish i had a teacher like you. You're the best.
Thank you Joseph!
You are a great teacher. I’ve been listening to you for months to get over my math issues.
The angle subtended by the arc is the linear distance in radians.
I have forgotten the math of high school level for a long time, his explanation is so clearly and concise that I understood it easily
Yeah!!!! same
Enjoyed your videos immensely.in the span of a few I’ve learned more in math fundamentals than I learned in H.S. And college .highly recommend your videos to students who have a hard time wrapping their mind around trigs and geometry etc ....you made so easy to understand .they should also be required and essential viewing for high school teachers .they know their stuff but they know NOT how to teach ..fantastic job .
You're an excellent teacher. I'm so grateful for your lessons, clarity, and enthusiasm.
You're very welcome!
Ppopppppppppppppp0ppp0pppp0pp000
Damn fine teaching. Anything this guy teaches is free knowledge, such amazing teaching talent. what a gift
Totally correct. Jason has a natural excellence with teaching. And he knows the subject matter throughly. Jim
I find this channel highly informative. I started watching so I could help my son with his geometry and Alg II. Even though I have an engineering degree, this has really helped me refamiliarize so I can explain things better to my son. Keep up the great lectures👍
That is awesome! Thank you so much!
I never seen such a wonderful maths teacher. It's my humble request to you, please start a video series of essential maths for Data Science/ Machine learning
I have watched so many videos trying to understand the concept of radians and every single one of them have butchered the heck out of it. Finally someone has made it so I can understand this concept!
You have no idea how helpful this lesson was for me🥺
Thank you so much!!!
Welcome!!!
I enjoyed this my friend.
I have had a leaky brain for most of my 57 years.
Due to a lot of effort I have cured myself of this problem.
My ambition is to fully understand the theodolite and spend my free time measuring things.
Brilliant and thank you
You are a awesome teacher. Your way of teaching is amazing.
Good day Sir. I'm an educ student and so far, your discussion is easily comprehended by students. Thanks for explaining. It helped me a lot in understanding and not just memorising the value of circle.
Trig finally makes more sense!!! Thank you! Your like the first person who actually makes any sense at all.
You make me love math. You are the Best math teacher I have ever seen. Best regards
Thank you so very much!
You have opened up a world I thought had been closed to me for most of my life. I love your clear explanations and real-world examples. For the first time in 55+ years, I am beginning to understand the delightful world of math.
Your teaching style is so awesome. I appreciate that you will introduce a thought and then come back to explore it completely. Thank you
You are an amazing teacher, because you explain everything! It's so much easier to remember when we know WHY it works.
The only guy who studies in an Indian school loves the lecture of an American teacher. Thanks from India for your conversion in terms of rad to angle visa versa
I'm in my college 2nd year and still scared to death because of maths. but after i watched this . i found maths much more interesting than any other subject
I'll be starting my electrical engineering degree this fall; this channel is a good place to refresh my mind.
To better understand the conversion table is for me to see a relationship and that relationship is a ratio of 30° (π r)/180°. The degrees cancel out. 30(π r)/180 = π/6 radians. I think it helps when it makes sense of what the conversion table is doing.
You are the best Teacher I have ever seen, you have a Gift,to explain concepts clearly, concisely, to educate! Thank You!
Welcome!
Wow! Hope his successful student's showed him their gratitude and still continue to do so...You the best!
I am from Kashmir sir beautiful art of teaching
FANTASTIC explanation!!! THANK YOU FOR SHARING YOUR KNOWLEDGE.
I highly commended the host for incredibly important information.
You are the best I have seen so far. I must admit
Honestly, there were many lecturers I tried to follow but I always found them difficult, until you came along and Bingo...!!!
Excellent and nice teacher with simplest approach to teach the novice as well as others
I was seeing fire during the lecture in school but now this gentleman made it simple.
Good ..teacher of mathematics.. God bless
I am sorry man I do not have a word to thank you...you Just open the eye of an Adult student and I am sure that younger student are thanking you as well, I take off my Mexican hat for you........cheers
I just love the way he explains stuff. I know all of this yet here I am going through his videos and thoroughly enjoying them. I particularly liked his universal conversion method and will be adopting it.
One thing wasn’t mentioned that I think is helpful that the if one takes the length of the radius and bend it around the circle that rad angle is 1.0 why it’s called radian.
Great video.
Absolutely right, that is how the radian is defined. It is the angle subtended by a length of an arc equal to the radius of that circle. That is how the value of Pi becomes 3.14...
Jason if you pass on your pedagogy to other math teachers, many students would go to study STEM not because they need to but because they want to. I think mathematical intuition brings creativity and understanding while task based and exam based teaching reduces the field into something that may bore an average student.
What an Amazing teacher!!! Thank you very much!!
wow 1st time I understood the Radians concept, its intuitive when explained well
Hellow prof...
Its a great lesson for every student learning maths+engineering...
Can easily solve conversion of radians to degrees and degree to radian.
Can you kindly please upload a vedio on how we get thats numbers.
Underroot(2), 1/2 etc...
Thanks, Professor Jason.
Now I got it well... to connect... THANKS AGAIN... SIR...!!!
GREAT TEACHER...!!!
hat off for you Sir!!!!!
You are such an extraordinary professor. You make things so easy to understand. You ate a legend and we love you.
You are making a better society by your teaching
Thank you thank you thank you
Thank you so very much!
The lessons are really excellent
Yes.....sir.....Very nice and easy to understand.....Information....Good job...Keep it up....Good luck....
Simple, a radius is the angle subtended at the center of a unit circle by an arc the length of 1
Thus a radian equals 180/pi degrees
I've mentioned before and I'm going to keep saying it again n again each time I keep watching all your lessons ! You are an awesome teacher ! Words cannot express the appreciation for the great amount of time , effort n dedication you have shared in educating the world ! Thank you n may God bless you always 🙏😇
Very professional explanation on this subject.
These lessons are solid gold. Thank you!
I'd love to have this instructor as my talking calculator. He's really into the subject and knows it well for sure. But college days are long gone so now I can just watch...
Can you pls upload all the trig and algebra 2 lectures on the app. Thank you the best teacher ever
As soon as the sequence is all done I will definitely upload to the app. Thank you!
Very useful video, many thanks.
The 360 is multiple of 60, ...60×6.
And 60 can be divided by many numbers , from there the minute is 60 seconds and the hour is 60 minutes...etc
Wish we had you around during our days in the school. How you make maths look like eating a piece of cake.
Sir keep it this video is very useful for 12 students thank you from India,kerala
Convert from Degree to Radians >>> Add Pi beside the number & Divide by 180.
Example: 45 Degrees, Add Pi beside 45 & Divide by 180, then >>> (45 Pi/180) Rad = Pi/4 rad
Convert Radians to Pi >>> Remove Pi from the number & Multiple by 180
Example: (3Pi/2), Remove Pi & Multiply by 180, then >>> (3/2)*180 = 270 Degrees
You make learning math easy and interesting
If I had you as my professor in my college yrs I would've aced all my math classes.
The best of best is here. I love your content.💛💛
You have to be the best teacher I've ever seen
Thank you!
I am the student, but I do not understand why the circumference is 2 pi.
I read the description. As I was thinking about it, it became clear.
Because the diameter is not one, it is two. O man, this is good.
I wish I got introduced to Maths by you, Sir.
I simply learn with no understand till I finish my matrix and 11.. now I understand this alot. N can b used in 12 grade I guess . Love yr teaching alot.. pls do more videos for chemistry, physics and mathematics 😍
Thank you so much for the outstanding lesson. It boosted my understanding of Miliradians (MRAD) and Minute of Angle (MOA) to a whole new level.
For those who still found this weird or difficult to absorb-
Instead of angle degrees which is a made up division by our ancestors (360degrees ) we simply use a mechanism that is more fundamental. Because we measure angles from the idea of a circle we can use it's radius to act as the base unit. We ask how many radius lengths fit around the outside of the circle ? this equals 2*pi. So no matter what circle we always have 2pi radius worth of length around that particular circle. Now the interesting thing is ,this is not as tidy as 360 perfect degrees around a circle because 2pi is irrational . This means the circumference calculations are approximations . So too is area or anything using pi as a number.
The most basic concept is using how a circles radius fits around its perimeter is a universal division method for all universes that have a circle
Glad I learned this, you made it very easy to understand
You saved my life THANK YOU ❤️
I am somewhat new to Trigonometry. However, it seems obvious to me that. Another way to look at and remember the Radians in the first quadrant. Is π/6 is 1/6 of π, a half circle or 180°. π/4 is 1/4 of π, a half circle or 180°. π/3 is 1/3 of π, a half circle or 180°. π/2 is 1/2 of π, a half circle or 180°. It's exactly what it is. It may not be as obvious as you go around the Unit Circle. 3π/2 is Three half circles divided by two. Or one and a half circles, divided by two. 3/2 or 1 1/2 divided by 2. Which is of course is 3/4 of the circle and 270°. 5π/4 is 1and 1/4π or half circles 225°. 2π/3 360°÷3 120° Or 2×180°÷3=120°. 3π/3 does reduce as you said. To 1π or π which is 180°. Although 3×180°= 440° and 440°÷ 440°=1, in this case π. As you said one half circle, or 180°. 4π/3 reduces to 1 1/3 π 240°. 5π/3 reduces to 1 2/3π 300°. 180°+ 2/3 180° which is 120 totals 300°. 300° is also Five sixths of the circle. 6/6 of a circle is obviously a whole circle 360°. Even though 6π totals 1080°. 1080°÷1080°=1in this case a full circle. Which makes sense why some prefer to use degrees. 6/6 of a circle intuitively should total 360°. I think the 1080° along with the increments leading up to it will make more sense. As I learn more about Trigonometry and it's related subjects. Although I may have lost some people describing this. I hope this helps. It wasn't my intention wasn't to negatively critique you or the contents of this video. I enjoyed it. As well as all of your other videos I have seen. I think you did a great job of explaining everything. I have only seen a small number of your videos. However, I have found them to be very informative. Thank you for this video. As well as all of your other ones.
very easy to understand, good examples.
I learned that the reason there are 360 degrees in a circle is because ancient civilizations used 360 days in a year for crop harvesting. The earth’s path being a orbital circle around the sun. The earth itself is divided into 360 degrees in longitude and latitude, then 60 minutes to a degree, and 60 seconds to a minute. Which brings us to the clock. 24 hours to a day which is split in two for two twelve hour parts to a day…which is 60 minutes to an hour, 60 seconds to a minute…which 360 is divisible by all.
Nice! The reason 360 was chosen and used is because it is easily divisable by a lot of factors, including all the important numbers on a clock.
It just made sense.
I like your story :)
360 may have been chosen but it has many fundamental properties, ones that few other numbers possess, making it an excellent choice. Probably the best possible choice, practically speaking.
well done. very good lessons
This is very, very good. Amazing teaching.
AM learning engineering and I am learning a lot
Excellent explanation Sir.
This is so easy to understand.... Where were you 40 years ago when i was struggling at school..can you time travel back please to my school :))
Very easy to understand. Thank you.
thank you for dumbing it down for us, you teach amazing!!!
You have made it very easy.
Repetition + multiple methods = learning by example
Or
Geniuses = problem solved by the base root of resolve. Fantástico excelente magnífico instrucción.
Thx
Very clear explanation of an otherwise complicated topic. At the risk of muddying the waters I noticed that you didn't bother to explain that an angle, θ, is defined as the ratio of the arc length, s, of a segment around the perimeter of a circle (an arbitrary circle) to said circle's radius, r such that θ := s/r (and that because an angle is a ratio of one distance to another distance, angles themselves are dimensionless.)
Hence an angle of 1 radian corresponds to an arc length equal to 1 radius. 1 = s/r --> r = s.
It's okay in my opinion that you skipped this bit at an introductory level because it wasn't explained to me this way until freshman physics in college. However, once I saw the concept of angle in this light all the trigonometry I had stuffed into my head in high school made instant sense.
Thanks for your nice comment - I appreciate that! Yes that info will be in a later lesson - didn't want to bog this one down too much.
Thanks
Excellent sir.
Wow u are amazing sir you make this easier to memorise thank you
Why did you go counterclockwise?
Master class!!!! THANK YOU !!!!!
For those that use Microsoft Excel, there are built-in functions available to convert degrees to radians and vice versa. Some calculators have special keys to make the conversion simple.
There's no learning to be had there. It's like telling me that the freshly baked cake I'm so proud of baking can be bought at the store.
Thank you for this
Thank you, great explanations
Thank you Sir! Fantastic Lesson!
Do you have a part 2 to this
This is amazing. Thank you!
You're amazing teacher... Thank you so much incredible!!!
I watched math videos in French ,but I am yet to find a French teacher who could match your teaching.....thanks again
Tu parle français ,i am glad to hear you looking teacher of French