Top 10.521

X = 6.6564023547

Shaded Fraction = 9 / 16

1600 / 89 = 17.9775280899

Blue / Red = 5 / 4 = 1.25

Line Segment FN = 6 / 7

Shaded Fraction = 2 / 3

Blue Area = 19.6349540849

Proof: ADFE is a Rectangle

Improved / Simplified

R₁ / R₂ = 1.61803398875

when the shaded fraction is minimal.

Shaded = 7.54247233266

Top 10.520

Min ( BE ) = 0.26403918892

Minimal Yellow Area

Proof: AD / AE = 1 / 7

Radius R = 169 / 24

Green = 36. Yellow = 16

X = R = 13.7477270849

Easy Way by Means of Regression

A Third Approach

Orange / Shaded = 25 / 169

X = CE = 6.472135955

X = 3. Baseline = √ 3

Improved

R₂ = PT = 29791

Intersection by Regression

Top 10.519

X = 8.0200207612

Blue / Yellow = 0.866025403784

Radius R = 5.366563146

Simplified by Means of Regression

Elaborated ( without Regression )

X = AD = 13.6602540378

GreenArea = 95.0961894323

Area and Perimeter of Circle

Aspect Ratio = 3 / 5

Segment DN = 4

Mahogany Fraction = 15 / 32

Blue Area = 22.5556204318

Top 10.518

X = Baseline AD = 6

X = 2.10818510678

Improved

Blue Area = 36 Square Units

Angle CAD = 15°

Chord EF = 11.313708499

Blue = 64 / 3 Square Units

Missing Angle CFD = 30°

X = AO = 90.0666419936

Total Area = 94.6341753456

X = 3.16227766017

Top 10.517

Square Area = 27.2 = 136 / 5

Length of Tangent NP = 6

Blue Area = 9.24220416702

Mathematical Proof

X = CLD = 75°

Blue Area = 6.69872981078

Blue Minimum ⇒ S / s = 2 / 1

Min ⇒ Blue / Yellow = 5 / 4

Simplified / Improved

Blue Fraction = 1 / 3

X = BCD = 50°