BE = \tan 30° = \frac{\sqrt 3}{3}

aire ABE = \frac{\sqrt 3}{6}

aire AECF = 1 \minus \frac{\sqrt 3}{3}

\shadowbox{
r = \frac { \frac { 1 \minus \sqrt 3 } {3} } { \frac {\sqrt 3}{6} } = 2 \sqrt 3 \minus 2
}

A = (-5.112084030991451, 1.685671627940831)
B = (-1.3920840309914513, 1.3056716279408311)
poly1, f, g, h, i, C, D = Polygon(A, B, 4)
B' = Rotate(B, 30°, A)
α = Angle(B, A, B')
B'_{1} = Rotate(B, 60°, A)
β = Angle(B, A, B'_{1})
j = Ray(A, B')
k = Ray(A, B'_{1})
E = Intersect(g, j)
F = Intersect(k, h)