The Pi Trivia Game

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Finally this is your chance to pay tribute to the magnificent transcendental number that we have all grown to love! Here are 25 questions (given to you 5 at a time), picked randomly from my pi question database. Get ready for the thrill of your lifetime, the ultimate challenge, The Pi Trivia Game!

1. Are pi's digits periodic?

Yes; the digits repeat themselves after every 6000 decimal places.
No; only women, not numbers, are unfortunate enough to be periodic.
Maybe; not enough digits of pi have yet been calculated to know if they start eventually repeating themselves.
Yes; every infinitely long number has to start repeating itself sometime.
No; every periodic number is rational, but pi is irrational.

2. Which of the following is an arctangent formula for pi?

arctan 1
3*arctan 1/256 + 2*arctan 1/17
4/3*arctan 1
16*arctan 1/5 - 4*arctan 1/239
2*arctan 2

3. There was a time (a while ago) when people were trying very hard to 'square the circle.' It was said at the time that it was even an illness and a name was given to it. What is it?

Squarerootofpitis
Impossibilus Fittis
Morbus Cyclometricus
WileECoyotisandRoadRunneritis
Repetitionatis Decimalus

4. The following are all mnemonics for remembering the first few digits of pi (the number of letters in each word corresponds to a digit of pi). Which of these was written in 1995 by Michael Keith?

Sir, I send a rhyme excelling
in sacred truth and rigid spelling.
Numerical sprites elucidate
For me the lexicon's dull weight.
Now I, even I, would celebrate
In rhymes inapt, the great
Immortal Syracusan, rivaled nevermore,
Who in his wondrous lore,Passed on before,Left men his guidance
How to circles mensurate.
But a time I spent wandering in bloomy night; Yon tower, tinkling chimewise, loftily opportune.
Out, up, and together came sudden to Sunday rite,
The one solemnly off to correct plenilune.
How I want a drink, alcoholic of course, after the heavy lectures involving quantum mechanics. All of thy geometry, Herr Planck, is fairly hard.
Poe, E. -
Near A Raven
Midnights so dreary, tired and weary,
Silently pondering volumes extolling all by-now obsolete lore.
During my rather long nap - the weirdest tap!
An ominous vibrating sound disturbing my chamber's antedoor.
"This", I whispered quietly, "I ignore".

5. Pi shows up many places in physics, including simple harmonic motion. Given a simple pendulum of length h, what is the period for a small oscillation (the period is the time it takes to complete one full oscillation)?

3c/(pi*h^2), where c is the speed of light
2*pi*sqrt(h/g), where g is the gravitational constant
e^(pi*h), where e is the base of the natural logarithm
h/pi
(27*pi^2)/(h*[g^2]*[e*c]^3)

eve@eveandersson.com