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. Say you have a rope wrapped tightly around the earth at the equator. How much longer would you have to make the rope if you wanted the rope to be exactly 1 foot above the surface the whole way around? (assume that the earth has a constant radius at the equator)

2*pi feet
2*pi*R feet, where R is the radius of the earth
pi*R^2 feet
pi + D feet, where D is the diameter of the earth
pi/2 feet

2. What is the earliest known reference to pi?

the Rosetta Stone, inscribed in approximately 200 BC
a Middle Kingdom papyrus scroll, written around 1650 BC by Ahmes the scribe
Euclid's Elements, written in the 3rd century BC
The Uselessness of Pi and its Irrational Friends, written in 1994 AD
the Bible

3. Which of the following fractions most closely approximates pi?

2549491779/811528438
22/7
864/275
5371151999754/1709690779483
3927/1250

4. How does one convert pi in base 10 to base 2?

Keep only the '0' and the '1' in the decimal expansion.
It is impossible because pi > 2.
Replace each digit of pi in base 10 with a 0 if it is divisible by 2 and with and 1 if it is not.
Successively multiply pi by 2 and put a '1' when it is greater than 1 and a '0' when it is smaller than 1. Repeat this step after having kept only the fractional part of the result.
Divide pi in base 10 by 5.

5. Which of the following binary numbers is closest in value to pi:

11.0010010000111111
101.110101000111100
10.0001101010110100
1.10111011010010011
111.010111101011111

eve@eveandersson.com