If PI is infinite how can anyone say the right numbers?

π is quite certainly finite, not infinite:

3 < π < 4; π ≠ ∞

Neither is π random; for that matter, no single number is random, although a number can be randomly selected.

The probability of selecting π at random, from any continuous interval containing it, is 0. But the same is true of 5, or 1⅔, or 16. Still, if a number is selected at random from any continuous interval, it *will* be *some* number, and whatever it is, it will have had 0 probability of being selected, before it *was* selected.

You could envision a monkeys-and-typewriters thought experiment, in which all the typewriters have only the 10 digit-keys, 0...9, and whatever they type, you will insert a decimal point after the first digit, then interpret that as a number from 0 to 10.

The probability they will type out π is 0; and so is the probability they will type out 5, or 1⅔, or 16.

Now, at some point, they *will* type out any finite exerpt of π.

But yes, in decimal (base 10) notation, as in any fixed-base number system (binary, ternary, octal, duodecimal, hexadecimal, sexagesimal, ...), the representation of π will be infinite, and at no point will it become an infinite repetition of a finite string of digits.

OTOH, and this is not, AFAIK, actually proved, but it is thought likely, that any finite string of digits you choose, no matter how long, will occur at some point, in π's decimal expansion.

And if that is indeed true, then, you're right that if you just shout out loads of random digits, that will appear somewhere in π. Of course, the more digits you reel off, the farther along you can expect to have to look to find it.

Exponentially farther!

For an n-digit string, you will generally have to go ½ or 1 or 2 times 10ⁿ digits down the expansion of π, to find your string.

EDIT:

One problem with the monkeys-and-typewriters thing, is that eventually, the monkeys start throwing the typewriters.

You don't want to be in the room when that starts.

Nonsense. π has a perfectly precise value, which has been calculated to an accuracy of several million digits ( about a millionth of the diameter of an atom). Is that good enough for you)?

It is an irrational number, which simply means that it cannot be expressed exactly in the decimal system. It is the DECIMAL expansion which is never-ending, but it becomes more and more precise the more decimal places you take. There are several methods of writing the value of π as a repetitive series, which are easily found if you are really interested.

There is nothing strange about irrational numbers. There are more irrational numbers than rational ones. Simple examples are √2 and √3. Those also produce never-ending decimals. Just because they cannot be written down exactly as a decimal number does not mean that their values are not known to as precise a value as we wish to get it.

I think you are getting confused between the definition of a random number and an irrational number. PI is an irrational number: one that cannot be represented exactly by a fraction, and its decimal representation is non-repeating, so appears to be "random". A "random number", however, is an arbitrarily chosen number with no constraints.

PI is not a "random number". It is a very specific irrational number: PI=3.14159265358979323846264338327950288... and it goes on and on forever, but never repeating sequences. Some people have managed to memorize PI to thousands of decimal places. I have only ever managed 35.

as you add more decimals to a number, you are increasing it's value but by an ever decreasing amount.

Take 1.1 for example. I can add any second digit to it and it will be greater than 1.1, but never greater than 1.2. Let's call it 1.13 now.

Same with the 3rd decimal. I can add any digit that I want and it will never be larger than 1.14. 1.134, for this example.

Next digit, can never make the value larger than 1.135, etc.

So each digit makes it larger than not having it, but each digit adds less and less value that it does have a finite value, which we can record, memorize, and dictate as 3.14159 (to 5 decimal points). that fact will never change.

Just because a number goes on forever right of the decimal point doesn't mean it has an infinite value.

Same goes for other irrational numbers like square roots.

√2 is still less than √3, even though both are irrational numbers that in decimal form goes on forever without repeat, the values are still comparable as non-infinite values.

Because even though your numbers are surely present somewhere in the string of decimals representing pi, you don't have a clue where. It's like agreeing to meet you for lunch sometime in the year 2025 without telling you the date. In other words, pretty meaningless.

Characteristics of pie are

1-Pie cannot be found up-to infinite digits

2-It is circumference of a circle whose diameter is unity

3-It has combination of any possible number(eg you phone number somewhere, your credit card number)

4-It can be calculated by

pie=N*sin(180/N)

it gives you more accurate value for pie with greater value of N

As N->infinity then pie gets exact value... which is not possible....

i never heard about 'Right number' but it is a real number

Let's not confuse the inability to enumerate all the digits of pi (or any irrational number for that matter), with doing precise and accurate calculations with pi.

They are not related.

Pi ain't infinite if:

Its Mom's apple.

Enough folks are around and hungry enough.

You have to recite 12.1 trillion digits in the correct order before you can start "shouting loads of random numbers" otherwise someone will notice your blather is wrong.

It aint infinite