[DOC] [TLE] Pi Day: History of Pi | Exploratorium [PAR] 19001680 BC) indicates a value of 3.125 for pi, which is a closer approximation. 
... In this way, Archimedes showed that pi is between 3 1/7 and 3 10/71. [DOC] [TLE] The History of Pi [PAR] We will probably never know who first discovered that the ratio between a circle's 
... The ratio of pi to 3 is very close to the ratio of 111 to 106. ... This figure is far 
more accurate than any other value that had been calculated ... He calculated up 
to a6 and b6 and finally reached the conclusion that 3 10/71 < b6 < pi < a6 < 3 1/
7. [DOC] [TLE] PI - Math.com [PAR] Archimedes calculated that Pi was between 3 10/71 and 3 1/7 (also written ... 
times the needle lands on a line, it turns out to be directly related to the value of 
Pi. [DOC] [TLE] Archimedes' Approximation of Pi [PAR] Jun 10, 1997 ... ... to mathematics was his method for approximating the value of pi. ... The key 
result used by Archimedes is Proposition 3 of Book VI of Euclid's Elements. ... of 
any circle to its diameter is less than 31/7 but greater than 310/71. [DOC] [TLE] Archimedes Estimate of Pi - Delphi For Fun [PAR] Feb 18, 2016 ... Here is an illustrated description of Archimedes' method for ... After 4 iterations, 
Archimedes determined that the true value of Pi lies between 310/71 and 31/7 . ... 
His completed figure includes one additional line, AH, merely to... [DOC] [TLE] NOVA - Official Website | Approximating Pi - PBS [PAR] Sep 1, 2003 ... Archimedes' value, however, was not only more accurate, it was the first 
theoretical, ... The value of pi lies between those two lengths. ... Specifically, he 
determined that pi was less than 3 1/7 but greater than 3 10/71. ... and with this 
knowledge was able to figure out the length of the perimeter of a hexagon. [DOC] [TLE] Archimedes - Maths for Europe [PAR] Archimedes was and is the most famous ancient Greek mathematician and 
inventor. ... work in which Pi is shown to lie between the limits of 3+1/7 and 3+10/
71. ... the centres of gravity of various rectilinear plane figures and segments of 
conics. ... What Archimedes does is to create a place-value system of notation, 
with a... [DOC] [TLE] The amazing history of pi - University of Arkansas at Little Rock [PAR] The ancient Babylonians generally calculated the area of a circle by taking 3 
times the square of its radius ( pi ... The first theoretical calculation of a value of pi 
was that of Archimedes of ... The approximate area of the circle lies between the 
areas of the circumscribed and the inscribed hexagons. ... /4 = 1 - 1/3 + 1/5 - 1/7 + 
. [DOC] [TLE] Archimedes | Nature of Mathematics [PAR] Archimedes of Syracuse (287 - 212 B.C.) Archimedes was one of the three 
greatest ... Theorem (Archimedes): 3 10/71 <  < 3 1/7. ... An exact value of  is 
unknown and one can only approximate it. ... Legend says that Archimedes 
requested that the above figure of a sphere inscribed in a cylinder be inscribed 
on his tomb. [DOC] [TLE] Archimedes of Syracuse [PAR] Even though Archimedes achieved his fame through his mechanical ... of the 
Circle, Archimedes showed that the exact value of  lies between 3 10/71 and 3 
1/7. ... fundamental theorems which dealt with the center of gravity of plane 
figures. [DOC] [TLE] What is Pi? - Live Science [PAR] Apr 30, 2013 ... When starting off in math, students are introduced to pi as a value of ... The first 
calculation of pi was carried out by Archimedes of Syracuse (287-212 B.C.). ... a 
circle, and he approximated that pi is between 3 1/7 and 3 10/71. [DOC] [TLE] Archimedes' Approximation of Pi - Jacq Krol [PAR] But for curved figures other concepts are needed. The problem ... Archimedes 
determined that the true value of  lies between 31071 and 317. The Works of ..... 
ADBD=BDDK=

Question: Archimedes figured this value to be between 3 1/7 & 3 10/71
Answer: Pi