(2009? Wenzhou) As shown in the figure, it is known that the side length of square paper ABCD is 8, the radius ⊙O is 2, and the center of the circle is on the center of the square. Press the paper as

(2009? Wenzhou) As shown in the figure, it is known that the side length of square paper ABCD is 8, the radius ⊙O is 2, and the center of the circle is on the center of the square. Press the paper as shown. Solution: As shown in the figure, if FS⊥CD is at point S, then AF=CG.

∫△AFE?△A′FE，

∴fa=fa′，

∵ Quadrilateral ADSF is a rectangle,

∴af=sd,ad=fs；

Let AF=x, then A ′ f = DS = CG = x, GS=8-2x, Fo = FA ′+OA ′ = 2+x, FG = 2 (2+x);

∫FG2 = GS2+FS2

∴[2(2+x)]2=(8-2x)2+82，

The solution is x=73,

∴a′g=fg-fa′=2(2+x)-x= 193.