Area of circle is zero !!! | The Math Grapher
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- Опубліковано 5 жов 2024
- Hi guys,
Welcome to the world of equations
In this video you will get to know why area of circle is not πr^2.
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• 0 ! = 1 , why not 0 ?
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The Grapher
#circle #area #mathematics #proof #pi #π #radius
This channel need to have more subs
So much info in so less time
Make a separate post on insta regarding your UA-cam man
I think you are taking wrong data as x^2+y^2=1 this eq. Represents circle having radius 1. and its centre is origin and then you are taking 0,0 as coordinate, but 0,0 lie inside the circle. This eq. Will be valid only if you are taking coordinate points on its circumference only and other points inside the circle will give wrong results. So its giving this result. I think i am not wrong 🤔
That's what I am saying, equation is valid only for the points on the circumference not for the point inside circle see video completely and see clearly
Times where the language and grammar plays a big role👏🏻
A circumference is the outside line(which doesn’t have an area because it’s a line) , but a circle is the area bounded by that circumference so a circle has area but the circumference don’t.
I guess you need to go through the definition of circle (not disc)
Wait a minute. Doesnt the equation (x-h)² + (y-k)² = r² apply only for points on the circumference of the circle? Not on the inside? So therefore him substituting (0,0) into the equation isn't a valid step. If im wrong, someone guide me please.
I have substituted (0,0) to prove it doesn't satisfy
Even i thought same, (0,0) is not on circumference so it won't satisfy anyway.
And the equations you give is the equation of a disc.
Abbey salley πr^2 represents the magnitude of the area with radius r. And the equation x^2+y^2
I think it's wrong. What you say is zero is the area of the circumference. The circle is defined as the flat figure formed by the circumference and its interior, then the area of the circle is not zero.
Area bounded by the circle is πr^2 not the area of circle
According to your definition it's called disc not circle
If I'm not making a mistake, you're pointing out a terminology problem, circle does not have area, disk does
I general curves doesn't have area but the region delimited by a curve does
yes you are right he essentially means that a line doesn't have an area
Open challenge
Try to change my mind.
That's true😂
you are a great mathlover
Then according to u the area of a rectangle or a squad is what?
I am saying it as zero according to the equation we use to represent circle
@@TheMathGrapher listen sir,if a point inside the circle is taken...
x² + y² < r²...is the equation...it is a theory and besides that,
You considered a circle having centre(0,0) and it goes through a point (0,0) so it is a point circle..and point circle has no radius..am I wrong?
Circle with center (0,0) doesn't mean it's the circle with 0 radius and a circle with center (0,0) doesn't go through (0,0)
@@TheMathGrapher but you have considered a circle having a centre (0,0) and then you have considered that it will be going through (0,0)
(x-h)²+(y-k)²=r²
Then you considered it's centre is(0,0)
x²+y²=r²
Then you considered it will be going through (0,0)
But then,it will become a point circle ... so radius should be 0
But u have written
0² + 0² =1
So it is not happening anyways
I think when the center is (0,0), the equation is likely to be (x^2 + y^2 =0). Did I get this?
but the integral is zero
There is some fault
No fault
@@TheMathGrapher i think i had misunderstood that what are u trying to explain