Yes. Do you agree that $$2\pi \times r = \pi \times 2r$$?
Yes, you got it, I think,So you're trying to figure out what the length of half of the circumference of a 10 meter diameter circle is? Well a 10 meter diameter circle has a circumference of 10*3.1416=31.416 meters. If you divide that by two, well there's your answer! You can find 1/360th of that circumference by dividing by 360, so 31.416/360=0.0872666666666667 meters. So each degree has a length of 0.0872666666666667 meters along the circumference of a 10 meter diameter circle.
29.385 degrees is a length of 29.385*0.0872666666666667=2.564331 meters along the circumference of a 10 meter diameter circle.
We could say Pi = 0.00872664625*360=PiYou just don't like $$\pi$$ for being an irrational real number?
"The constant pi, denoted, is a real number defined as the ratio of a circle's circumferenceto its diameter"
http://mathworld.wolfram.com/Pi.html
You just don't like $$\pi$$ for being an irrational real number?
But then we would be mathless slaves of a calculator and wrong. $$0.00872664625 = \frac{872664625}{10^{11}} = \frac{6981317}{8 \times 10^8}$$ so $$0.00872664625 \times 360 = \frac{62831853}{2 \times 10^7} =We could say Pi = 0.00872664625*360=Pi
By 69.0975850864 did you mean $$\frac{6909758508635}{10^{11}}$$, $$\frac{21179239}{306512}$$, $$\frac{690975850864}{10^{10}}$$, $$\frac{6909758508645}{10^{11}}$$, $$ \frac{3959 \pi}{180}$$, or $$\frac{24604199}{356079}$$ (which I have listed in ascending order)? How do you know? Does your source have that many digits of precision? Is this a physically measured quantity? What is the source?69.0975850864/0.00872664625=7918.00000904
1+1 = 2 and 2+2=4 and dividing both sides of that equation by 2 we get 1+1=2!
Radius, circumference and diameter are not defined numbers like $$\pi$$ Otherwise, all circles would be the same size.
Mathematics uses abstraction and you want to use physical things that are not.
Agreeing with or not would be irrelevant.
2 x a mathematical constant.
Radius, circumference and diameter are not defined numbers like $$\pi$$ Otherwise, all circles would be the same size.
I did post this earlier:
Spheres and cylinders are not constant. So how can I be wrong?
But then we would be mathless slaves of a calculator and wrong. $$0.00872664625 = \frac{872664625}{10^{11}} = \frac{6981317}{8 \times 10^8}$$ so $$0.00872664625 \times 360 = \frac{62831853}{2 \times 10^7} =
3.14159265$$ which is a ratio of integers or a "rational number", and not equal to pi.
Two demonstrations with precision math that $$\pi \neq 3.14159265$$:
$$ \frac{62831853}{2 \times 10^7} + \frac{1}{ 278567576} \lt \pi \lt \frac{62831853}{2 \times 10^7} + \frac{1}{ 278567575} $$
$$ 278567576 \, \sin \left( \frac{62831853}{2 \times 10^7} \right) > 1$$ but $$ 278567576 \, \sin ( \pi ) = 0$$
By 69.0975850864 did you mean $$\frac{6909758508635}{10^{11}}$$, $$\frac{21179239}{306512}$$, $$\frac{690975850864}{10^{10}}$$, $$\frac{6909758508645}{10^{11}}$$, $$ \frac{3959 \pi}{180}$$, or $$\frac{24604199}{356079}$$ (which I have listed in ascending order)? How do you know? Does your source have that many digits of precision? Is this a physically measured quantity? What is the source?
Conventionally, a decimal quantity on a display with a fixed amount of display digits can stand for the whole range of numbers that round to that displayed number, so 69.0975850864 stands for all numbers, x, in the range $$\frac{6909758508635}{10^{11}} \leq x \lt \frac{6909758508645}{10^{11}}$$. But if you don't know which one, multiplication (on a calculator with only finite precision in operations) doesn't guarantee all the digits of your answer are exact.
But, garbage in leads to garbage out, so if you don't have a reason to know how accurate your source is, you can't know how accurate your answer is even if you do use arithmetic with absolute precision.
So you measure variable spheres and cylinders? Do they change colors too?
$$V=\frac{4 \text{$\pi $r}^3}{3},A=4 \text{$\pi $r}^2,\text{and } V=h \text{$\pi $r}^2$$
Can you point out the variables in those equations?