Area of a Circle using Integration - Brain Waves

[IsturisMasaya]

This was indeed much easier than any other explanations I've encountered. Thank you.

[polarisalpine]

This is the most cleverly straightforward solution i've ever seen!

[gauravsalunke]

I am an 11th grader and my school teacher took 60min lecture to explain this and still didnt get it. And this 13 min video explained me everything and i am not confused anymore. Thank you sir. Love from india🇮🇳

[anujagrawal]

thats very clever shifting to polar rather than going for direct integration

[MrTarorin]

Thank you, i tried it using the area triangle formula 1/2bh and it works.God bless!

[leonahams]

Hope it helps. Yes Sir, it really helps. But would love to see the solution using the first method

[Nidhsa]

How would you do this for an ellipse? Can you still use Polar coordinates?

[inspiredd]

6:36 why do we take that as R, not the side of the triangle?

[iHeartIndieGames]

Thanks for posting this... I had so many things I wanted to say ask, but I'll just post the definition of infinitesimal as I've never heard the word before and even thought that you were saying infinite-decimal...

In mathematics, an infinitesimal or infinitesimal number is a quantity that is closer to zero than any standard real number, but that is not zero.

[qualquan]

very good except he spent surprising amount of time on the area of a triangle which is simply 1/2 base x height (R). This method for circle's area is so much easier than others except for integrating the circumference = 2 pi r dr (r= 0 to R) giving Area = pi R squared.

[DreamWorker-jmxn]

In the first method, we can let u=r^2-x^2, r a constant, get du/dx and then dx = f(du, u), and finally substitute everything into the equation Area=...

[yerlanbigaliyev]

Sorry teacher, but how it is possible that height of the triangle is equal to Radius. I thought that both sides of the triangle should be equal to the radius.

[Alexandru.]

more better than others > 1mln subscribers

[chiknj]

I'm stealing "buckaroos and buckarettes."