What is the square root of pi?

Me ^

[OldEagle]

Years ago, I knew how the value of pi was determined. Since more than a few Freepers appear to understand pi, how is it determined???

[bobzeetwin]

Ya,...I knew that. You just beat me to it.

[sigSEGV]

You mean 10^{10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}?

[stands2reason]

Fractals are pretty.:-)

[tet68]

Monica,to Linda,"Ooo His Billiousness always says the sweetest things to me."
"Yesterday it was," La pâte ivoire est d'une consistance onctueuse et souple."

Linda to Monica,"What does that mean?"

Linda,"I don't know but I think its about foreign policy. He said he was going to aquaint me with it tomorrow!"

[Tennessee_Bob]

[whoever]

I am so sorry. I did not mean to repeat your post. I replied before I read the rest of the thread. Will teach me, maybe......

[Faraday]

For everything you might ever want to know about pi there is The Web Page Dedicated to Pi(TM). In particular for pi expressed to 120,000 places see this.

[AmericaUnited]

Why not post something more weighty like "Does anyone have the time?"

[Aurelius]

There is a story, (I could look it up but am too lazy) of a Geman mathematician, named Ludolf, I believe, who worked to compute pi to more decimal places than anyone previously had done. He had his answer engraved on his tombstone. It turned out most of the digits were wrong.

[Faraday]

Thanks for the explanation.

[Aurelius]

Read your own post, the time is right there, and it was right when you asked the question.

[InterceptPoint]

I think everyone is missing the point here.

Remember that the area of a circle A = Pi*R*R. Now if we knew the square root of Pi (let's just call it Q such that Q*Q=Pi) then we could express the area of a circle as A=Q*Q*R*R and we would be able to "square the circle" by constructing a square that is Q*R on a side and whose area is Q*R times Q*R and is equal to the area of our circle.

I am certain that the search for a formula for Pi and the square root of Pi kept the ancient mathematicians awake at night. The smart ones figured out how to do it with nothing more than the Pythagorian Theorem and a converging successive approximation for computing square roots.

[Faraday]

Seems the link got fouled. Try this for The Web Page Dedicated to Pi(TM).

[Always Right]

Has anyone ever heard of a googleplex?

Yes, ten to the google power. It has so many zeros in it, that all the atoms in the universe could not write it out, accord to Sagan.

[stands2reason]

Try squaring the circle. (he, he, he!)

[Aurelius]

Maybe I should stop, but will take up cardinality. As AmishDude said the rational numbers have the same cardinality as the integers; it can be shown that the algebraic numbers also have that cardinality. So the transcendental numbers have to "make up the difference" and have the same cardinality as the real numbers. It is sort of amusing that we know so few of them.

[stands2reason]

Not in three dimensions.

[AmishDude]

Just trying to prove a number is transcendental is ridiculously hard.