10 Questions

Questions and Answers

- 1.
- A.
Albert Einstein

- B.
William Jones

- C.
Attila the Hun

- D.
Archimedes

- E.
Napoleon Bonaparte

- 2.Pi is transcendental. What does this mean, in mathematics?
- A.
It is equal to the ratio of two integers

- B.
Its square root is imaginary

- C.
It cannot be expressed as an integer, or as a root or quotient of integers

- D.
It was Ralph Waldo Emerson’s favorite number.

- 3.What is the earliest known reference to pi in history?
- A.
The Rosetta Stone, approx. 200 BC

- B.
The Bible

- C.
An Egyptian papyrus scroll, written approx. 1650 BC by Ahmes the Scribe

- D.
Euclid’s Elements, written in the 3rd century BC

- 4.People tried for centuries to “square the circle”. What were they trying to do?
- A.
Construct a square that perfectly circumscribes (surrounds) a given circle

- B.
Determine the value of pi squared

- C.
Multiply a circle by itself

- D.
Use a straightedge and compass to construct a square exactly equal in area to a given circle

- E.
Alter a recipe intended for a round pan so that it would fit exactly into a square pan

- 5.Some people became mentally deranged when trying to “square the circle”. What was this illness named?
- A.
Impossibilius Fittus

- B.
Morbus Cyclometricus

- C.
Repetitionatis Decimalus

- 6.Are pi’s digits periodic? In other words, do the digits ever repeat themselves in any pattern?
- A.
Yes. The digits repeat themselves every 6,000,000 decimal places

- B.
No. Every periodic number is rational, but pi is irrational

- C.
Yes. Every infinitely long number repeats itself

- D.
Perhaps. Not enough digits of pi have been calculated to know yet

- 7.
- A.
Its digits cannot be rationed out evenly

- B.
Nobody with sound judgement has anything to do with it

- C.
It is a real number, but can’t be expressed as a ratio of two integers

- 8.What is the “formal” definition of pi?
- A.
The surface area of a sphere of diameter 22/7

- B.
3.1415926

- C.
The radius of a circle

- D.
A delicious dessert

- E.
The ratio of a circle’s circumference to its diameter

- 9.Among the digits of pi currently known, the concentration of each of the digits 0-9 are pretty close to equal. However, in the first 30 places of pi’s decimal expansion, which digit is completely missing?
- A.
7

- B.
2

- C.
0

- D.
8

- 10.
- A.
2 ∏ feet

- B.
2 ∏ r feet, where r is the radius of the earth

- C.
∏ r ^2 feet