Quick Visual Proof: Area of a Circle

[the_venomous_viper]

This method of teaching - not just the what, but the why and the how - is the best method of teaching

[__Vijay__]

This is how the overall society benefits when individuals follow their passion and love what they do. Excellent presentation 👍👌

[tarunbanala]

He just explained the fundamental definition of integration.

Edit:Watched this comment after 2 years. I see some good discussion below in the replies. Thank you everyone.

[MrBobTheLion]

Wow! Your teaching makes me want to be a circle

[bedoe]

"That's a sneeze and a half"
Lmao

[keesleo]

Is anyone else just watching these for fun

[danieldraper]

You have a gift for teaching and communicating! Well done!

[Olliellie]

*draws near perfect circle* “I could draw better”

[CopyrightCreators]

I’m 43 years old and have always been “good” at but I have never had anyone explain math to me the way you do. I wish I had teachers like you in high school!!! Great job! I love watching your channel. It will help me explain math to my child.
Thanks 🙏🏽

[Alberturkey]

The reason that more teachers aren't this good is that they don't understand the material.

[johnmackay]

I am 24, finished school, got an MEng and work as an engineer. I have only just properly understood why A=pi*r^2 now thanks to your video. If only more educators were like you.

[shashankdegloorkar]

Our teacher in school: Just remember the formula dont ask why its like that.

[jszlauko]

Amazing lesson! Due to getting a degree in engineering many years ago, I had tons of math, and some very good instructors, but NOBODY ever explained the formulas of a circle like this! Excellent video! I love the fact that you don't just throw the formulas out there and expect people to remember them, but instead, in a very intuitive way, show HOW the formulas came about!

[sirjoj]

Watching this makes me wanna become a maths teacher when I'm older.

[Drof]

This is a good precursor to calc. I wish my math teacher described things this way.

[elguaporeyes]

Never seen an explanation ever like he just did. Jaw dropping. He made me wish I had a teacher like him back in High School.

[tirthajyotighosh]

Me: Why?
Teacher: It will help you pass the exam.

[justinwu]

Hi Mr Woo, just thought I might share an interesting idea.

So if you draw infinitely many concentric circles inside the original circle, you are going to essentially cover the entire area of the circle. 

Hence, the area of the original circle is just the sum of the areas of all the infinitely thin concentric circle ‘rings’. These rings will have radius r such that 0<r<R, where R is the radius of the original circle. (Note that each ring has an area of 2πr * Δx)

So let’s take the definite integral of 2πr from r=0 to R. And that happens to be precisely πR² ! 

[Towl]

I am so glad I stumbled upon these videos Eddie! ago I majored in math and minored in Chem and physics but never worked in those fields (worked in therapeutic recreation early on and a business manager in an elementary school later). These videos along with my old college books help me rekindle my love for math so much so that I am reading up on and teaching myself orbital mechanics. Thanks!

[nockynock]

2:00 Drawing a circle freehand so good like that just further proves Eddie is a magician!!