The pacing of this is excellent. The music is still a bit overbearing. I appreciate that I may be missing a musical "joke" though. Excellent graphic as usual.
Excellent video! I really like the part where you animate both halfs of the circunference as the rectangle long sides = Pi * r I didn't saw this key concept present in other videos thus making it harder to understand where the formula comes from for kids that are trying to understand this for the first time. A few years back (and even today) all this concepts were taught only as a formula to remember without explanation about where it came from, now there is a visual way that really helps to undertand. I wish this can be run from Jupyter notebook, it shows some errors such as "name 'ParametricCurve' is not defined" Any help on this? Thanks!
This relies on knowing that pi is defined in terms of the circumference and the radius of a circle: the circumference of the circle is 2pi*r. So then in this animation, the top half of the circle becomes the top of the rectangle and the bottom half of the circle becomes the bottom of the rectangle. Both these lengths are half the circumference, so they are pi*r.
that last touch with the line segments of halved circle unbending and forming rectangle.....👍 is there a name for a rectangle of those proportions? the "squared" circle?
@@MathVisualProofs why do we use pi, what's the relationship between the circle and pi? I know my question seems very basic, but I never asked myself this question. Or maybe I forgot because I am almost 30 years now
@@human9479 pi is defined as the constant equal to any circle’s circumference divided by its diameter. So if you could draw a perfect circle and perfectly measure it’s circumference and diameter, dividing the two would give you pi exactly.
Charging by the way the circle was disassembled to create the circumference of the rectangle, shouldn't the area of that rectangle be : ((pi*r)/2))*r = (pi*r^2)/2. ?
The circumference of the circle is 2pi r. It splits to become the top and bottom lengths of rectangle. The sides are given by the radius of the circle. So the perimeter of the rectangle is 2r+2pi r. So the area is pi r r.
ISuch a helpful channel. I would repost your whole channel, without changing anything, on the nice platform named Gan Jing World. If you agree with that, please let me know. Many thanks!
I'm not sure why it's not enough to just have the content here? I am not sure I am ready to share it to other platforms that I am not yet familiar with. Thanks!
![BLACK BAG - Official Trailer [HD] - Only in Theaters March 14](http://i.ytimg.com/vi/Du0Xp8WX_7I/mqdefault.jpg)
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Archimedes made the first post 2250 years ago.
Yes. But not this way :)
Seeing the circles that were split up a lot and unfold was satisfying
Yes, fun to be able to do so many at once :)
@@MathVisualProofs 1:33 why will we take the circular path as πr and not just π
@@ramanjeet1111 The circumference of a circle is 2pi*r, so we split it into two sides of pi*r .
Beautiful
Bro is doing Math to his Battle music
always... :)
Thanks!
Cool music, great video!
I love this :)
:) Thanks!
Thank you!
Thanks for watching :)
@@MathVisualProofs 🙏🙏
Amazing
Thanks a lot for these type of awesome video...
Thanks for checking them out!
@@MathVisualProofs We want more videos like this, please...
@@Asifur_RahmanI have lots of the channel. Check them out
@@MathVisualProofs Okay Sir, Thanks for your reply
👌 Perfect. Thanks
Sir I watch every video of you. Every video we make is awesome. Requested to make a video on sphere how to calculate volume and area
The pacing of this is excellent. The music is still a bit overbearing. I appreciate that I may be missing a musical "joke" though. Excellent graphic as usual.
The music is unbearable in what is otherwise an excellent video.
I realize my choice of music is polarizing but I’m sticking by the drama. :) thanks!
You should make videos where you explain how you do these things on shaders.
Excellent video! I really like the part where you animate both halfs of the circunference as the rectangle long sides = Pi * r
I didn't saw this key concept present in other videos thus making it harder to understand where the formula comes from for kids that are trying to understand this for the first time.
A few years back (and even today) all this concepts were taught only as a formula to remember without explanation about where it came from, now there is a visual way that really helps to undertand.
I wish this can be run from Jupyter notebook, it shows some errors such as "name 'ParametricCurve' is not defined" Any help on this? Thanks!
This is created with manimgl. I think ParametricCurve has been changed to ParametricFunction. Also, Tex has been changed to MathTex.
It's an interesting video. Can you share your code? I want to learn it
Thanks! Here is the code : github.com/Tom-Edgar/MVPS/blob/main/circlearea-10_10_2022.py (not commented; sorry)
@@MathVisualProofs thank you so much
I always wondered why pi is used in it...
I still don't know why but the video is cool
This relies on knowing that pi is defined in terms of the circumference and the radius of a circle: the circumference of the circle is 2pi*r. So then in this animation, the top half of the circle becomes the top of the rectangle and the bottom half of the circle becomes the bottom of the rectangle. Both these lengths are half the circumference, so they are pi*r.
so the area is also equal to (0.5 x circenference) x r?
1:33 why will we take the circular path as πr and not just π
Because π is a coefficient. It is always 3.14~. This is also why the perimeter of demi circle is rπ.
Could you share as manim code pls. I want to learn this deepest part of my heart.🙏🙏🙏
The link is in the description.
nice
Thanks!
Noice! 🐢
👍
Amazing. I like it.Can you share PPT of this video?
Don't have this in PTT form, sorry.
that last touch with the line segments of halved circle unbending and forming rectangle.....👍
is there a name for a rectangle of those proportions? the "squared" circle?
Maybe better to call it "rectangled" circle? I don't know of any standard term though. Thanks!
Wow ❤️
:)
Which software did you use for this simulation? Could you please tell me about it?
This is created with manim, which is the python library created by 3blue1brown.
@@MathVisualProofsThank you so much for this information.
Can someone explain, where did the pi come from?
Circumference of circle is 2pi *r. So we split that in half to get pi*r
@@MathVisualProofs why do we use pi, what's the relationship between the circle and pi?
I know my question seems very basic, but I never asked myself this question. Or maybe I forgot because I am almost 30 years now
@@human9479 pi is defined as the constant equal to any circle’s circumference divided by its diameter. So if you could draw a perfect circle and perfectly measure it’s circumference and diameter, dividing the two would give you pi exactly.
@@MathVisualProofs thanks a lot
super..
Thank you
One needs to be careful with these "visual" proofs, an identical approach to the area of a sphere leads to A = (πR)^2
I still dont get it how pi x r formed
It’s half the circumference.
Charging by the way the circle was disassembled to create the circumference of the rectangle, shouldn't the area of that rectangle be : ((pi*r)/2))*r = (pi*r^2)/2. ?
The circumference of the circle is 2pi r. It splits to become the top and bottom lengths of rectangle. The sides are given by the radius of the circle. So the perimeter of the rectangle is 2r+2pi r. So the area is pi r r.
*I realyy enjoyed the viedeo* Read more..............................................
This isn't right it's wrong
what wrong?
ISuch a helpful channel. I would repost your whole channel, without changing anything, on the nice platform named Gan Jing World. If you agree with that, please let me know. Many thanks!
I'm not sure why it's not enough to just have the content here? I am not sure I am ready to share it to other platforms that I am not yet familiar with. Thanks!