The Squared Circle

[Michael 345]

You calculate the circle's are using the formula Area=pi(r^2)

The radius is 1.0 unit, so how many units of area is the circle?

OKaaaay

Since you appear not to be familiar with my abominable mathematics skills (if spelling skills arise they are just as bad) and since you have the equation
You calculate the circle's are using the formula Area=pi(r^2)

please let me know

how many units of area is the circle?

Thank you

 

[Ssssssss]

That is not a number of square units.

Yes it is. It just isn't an answer you like.

How many square units of area is the circle, which has a finite area and a radius of 1.0, which is a finite number???

\(\pi\). Duh.

How did you finally divide the remainder of 1 equally into 3 equal parts???

\[1/3=\sum_{i=1}^\infty3\times 10^{-i}\]Or you can work in base 3 and just write it 0.1. There's loads of ways.

Why did it carry on for 1,000 decimal places and then all of a sudden end equally?

It didn't.

 

[Michael 345]

How many square units of area is the circle, which has a finite area and a radius of 1.0, which is a finite number???

Ummmm there are no square units in a circle which is a single stand alone circular unit

 

[Motor Daddy]

OKaaaay

Since you appear not to be familiar with my abominable mathematics skills (if spelling skills arise they are just as bad) and since you have the equation
You calculate the circle's are using the formula Area=pi(r^2)

please let me know

how many units of area is the circle?

Thank you

My point is that in order to calculate that are you have to use a finite value for pi. In order to do that you have to use a truncated version of pi.

Using 3.14 for pi gives an are of 3.14 square units of area.
Using 3.141 for pi gives an area of 3.141 square units of area.
Using 3.1415 for pi gives an area of 3.1415 square units of area.

Are you trying to say that the circle has a greater area just because you used more decimal places for pi?

 

[Motor Daddy]

Yes it is. It just isn't an answer you like.

\(\pi\). Duh.

\[1/3=\sum_{i=1}^\infty3\times 10^{-i}\]Or you can work in base 3 and just write it 0.1. There's loads of ways.

It didn't.

Moron, "pi" is not a NUMBER, "pi" is a word to represent an infinite number. "pi" is a place holder for the ratio of the number of units of the diameter to the number of units of the circumference.

If I tell you the circumference is measured to be 6 inches, then how many inches is the radius?? Duh???

 

[Ssssssss]

"pi" is not a NUMBER, "pi" is a word to represent an infinite number.

No mate. \(\pi\) is a transcendental number not an infinite one. There's no such thing as an infinite number.

If I tell you the circumference is measured to be 6 inches, then how many inches id the radius?? Duh???

\(3/\pi\) inches

 

[Motor Daddy]

Ummmm there are no square units in a circle which is a single stand alone circular unit

UM, yes there are. Do you not know what a square unit of area is? 3 square inches is an area, regardless of the shape of that area.

A cylinder has a radius of 1 and a diameter of 2. The AREA of the cylinder is 3.14159(1x1)= 3.14159 SQUARE INCHES of area. If the length of that cylinder is 6 inches then the VOLUME is the area x Length, or 3.14159 x 6 = 18.84954 CUBIC INCHES.

Square inches are 2 dimensional (area). Cubic inches are 3 dimensional (volume).

 

[Michael 345]

My point is that in order to calculate that are you have to use a finite value for pi. In order to do that you have to use a truncated version of pi.

Ummm - truncated - so in effect fake it. Got it

Are you trying to say that the circle has a greater area just because you used more decimal places for pi?

Don't think I am trying to say that. Please point out where you think I am saying

If if if you are referring to my statement that a circle is ONE unit in and of itself, ie a single unit (of infinite number (almost) sizes) simply bounded by its border is what I meant

 

[Motor Daddy]

No mate. \(\pi\) is a transcendental number not an infinite one.

Moron, What number comes after "pi" in the number line you learned in Kindergarten?

the number line goes 1...2...3...4...5...6........................

There is no letters like "p" and "i", there is numbers. You know what a number is, right?

 

[Ssssssss]

What number comes after pi in the number line you learned in Kindergarten?

You're just jealous because you have lame number lines with only integers. The rest of us have studied maths beyond kindergarten level and have better ones.

 

[Ssssssss]

There is no letters like "p" and "i", there is numbers.

You never saw an Argand diagram either did you? \(i\) appears on those.

 

[Motor Daddy]

You're just jealous because you have lame number lines with only integers.

Why put a symbol below the actual line and use an arrow to point to a space on that line? Because "pi" isn't a number, but a symbol???

You don't even know the difference between a number and a symbol "pi". So that's why I call you "moron." Duh?

 

[Motor Daddy]

...and when will you be showing me how you finished the long division of 1 divided by 3???

 

[Michael 345]

3 square inches is an area, regardless of the shape of that area.

So just go and make 3 square inches into a circle

Reverse the process and vola you have squared the circle

Well done

 

[Ssssssss]

You don;t even know the difference between a number and a symbol "pi".

3 is a numeral which is a symbol representing a number and \(\pi\) is a different symbol representing a different number. The distinction between symbolic representations and the numbers is important because you can have multiple representations for example 11 in base 2 represents the same number that 3 does in base 10. And 1 and 0.99999..... in base 10 both represent the same number too just to link back to the infinitely repeating decimal conversation.

 

[Ssssssss]

...and when will you be showing me how you finished the long division of 1 divided by 3???

Already did it twice in post #42.

 

[Motor Daddy]

So just go and make 3 square inches into a circle

Reverse the process and vola you have squared the circle

Well done

Exactly!

The circle's radius is 1 unit, so the circle's area is 3.14159 square units of area (using the number 3.14159 for pi).

The square has to have the same area as the circle. Since the square has to have the same area then to find the side length of the square it is the square root of 3.14159, or 1.77...

A square's area is side length x side length = area, s0 reversed it is the square root of 3.14159

 

[Motor Daddy]

Already did it twice in post #42.

I see no long division in that post. Telling lies again?

 

[Ssssssss]

I see no long division in that post.

You didn't ask for long division you asked how I would complete it so I wrote the complete answer in two different ways. If you want the working the easiest way is to work in base 3 then the division is 1/10 = 0.1 trivially. No long division required.

 

[Motor Daddy]

https://medium.com/@alexpowers_5068...vided-for-the-proofs-that-0-9999-4878a7ac2667

The image in the link is:



You see what long division looks like??? I think they teach it in second grade!

How does that end? How do you finish that division???