![farao :farao:](./images/smilies/icon_farao.gif)
iGolden Ratio of Squared Circles
('i'= "impossible" and "outside the box")
Re: Golden Ratio: "a + b is to a, as a is to b"
![geek :geek:](./images/smilies/icon_geek.gif)
Given: circle-squaring right triangle, where
b = short side, a = long side, c = hypotenuse,
c = circle's diameter, a = Side of Circle's Square (SoCS),
c/a = 1.1283791670955125738961589031215.. = 2/sqrt(Pi)
c = 2.5464790894703253723021402139604.. 2((2/sqrt(Pi)^2)
a = 2.256758334191025147792317806243.. 2(2/sqrt(Pi))
b = 1.1796599400543220225826496809606.. Pythagorean Theorem
a/b = 1.9130583802711007947403078280194.. "iPhi"
![sunny :sunny:](./images/smilies/icon_sunny.gif)
iGolden = ((a+b)/b)-1 =
2.256758334191025147792317806243..
+ 1.1796599400543220225826496809606..
= 3.4364182742453471703749674872036..
/ 1.1796599400543220225826496809606..
= 2.9130583802711007947403078280194..
-1 = 1.9130583802711007947403078280194..
a/b = 1.9130583802711007947403078280194..
Rod
![Seeing Stars :stars:](./images/smilies/icon_stars.gif)
(and math needs verification)