The Small Pi Quiz "Pi, What's this thing?"

Here are 20 question that I have chosen. A few are trivial (so to allow some to have at least one point?) and all together, they're are not hard, well I hope... I tried to please both math and non-math people. However for the first lot, I advise them to take the big quiz which is worth it's click with 50 brand new and harder questions. I don't think there's any errors, but all correction are welcomed! The scoring: 3 points per correct question, 1 point for the answer 'I don't know' (knowing your ignorence is a good thing...) and 0 for incorrect.... Every time, mark the right answer!

1. : One geometrical definiton of the constant Pi in a circle is

2. : Roughly at what period was the discovery of a constant that we now call Pi ?

3. : The famous comparion by Archimedes is: (No calculators allowed!)

4. : How did Archimedes die (Around 212 B.C.)?

5. : What was Archimedes' famous method to approximate Pi?

6. : What numerical system did the chinese, so talented in the approximation of Pi, since the antiquity?

7. : In the middle ages, who was one of the first to intoduce in Europe base 10 as a calculation reference and found an approximation of Pi ?

9. : A revolution in the calculation of the decimals was due to the introduction of the arctan formulae in 1706. To who do we have to thank for this brilliant discovery?

11. : The transcendance of Pi is linked to the famous ancient problem. Is it:

12. : And what does the transcendance of Pi signify?

13. : In 1897, a law project of a wierd american decided that in the constitute of an anerucab state the exact value for Pi, which varied from Pi=3.1604 to Pi=4. Which state was it?

14. : In 1844, a prodigy human calculator beats the records of know decimals of Pi under the alias Strassnitsky. Was it

15. : What value of Pi does the Bible offer?

16. : An Indian genius emerge from his class at the biginning of the 20th century. Self-educated and gifted with a fabulous intuition, was it

17. : What was the name of the English mathematician that went to meet this Indian genius and invite him to work with him from 1914 to 1919?

19. : New algorithm to calculate Pi were introduced in the 70s and 80s by Brent, Salamin, Garvan, and the Borwein brothers. The exceptional speed of convergence of the first of them for example, the one of Brent/Salamin, doubles the number of exact decimals at each iteration. We call this a ..... convergence:

20. : Who designed for the first time the constant for the letter Pi in 1706?