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Easy Way

AE = X = 8.42614977318

ABCD = 72 Square Units

Green Fraction = 5 / 14

R = 1 / 9 = 0.111111111111

Shaded Fraction = 1 / 2

Show : 2 ⋅ a ² = b ( b + c )

Max (Green Fraction) = 8 / 9

Elaborated

DGE = X = 15°

Circle = 157.079632679

Fraction Shaded = 1 / 2 = 0.5

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Shaded Fraction

Shaded Fraction = 1 / 2 = 0.5

Shaded Fraction = 1 / 12

Elaborated

Total Area = 41.2334035784

DEF = X = 70°

Line Segment CE = X = 4

Total = 36. Angle = 45

Blue Square = s² = 5

Angle AFC = X = 96°

NEW: Angle AFC = X = 96°

Shaded Fraction = 12 / 25

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tan α = 1 / 3

Square = 35.3079757313

Green = 24 Square Units

Angle CGD = X = 80°

White Area = 2 Square Units

Shaded Fraction = 1 / 9

Max ( ( b + c ) / a ) = √ 2

Orange = Green = 10

White = 0.0776723669537

R₁ = 0.433012701892, R₂ = 3 / 8

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Circle Area = 6.28318530718

Angle AFD = X = 30°

Shaded = 96 Square Units

2 X = BAM ⇒ X = 15°

Ratio of tan α / tan β = 7/18

L / R = 7.67 and l / R = 3.96

X = 5.30277563773

Red Area = 6 Square Units

ABD = ( 180 - BOC ) / 2

Angle CDE = X = 40°

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S=1 ⇒ R = 0.28, R₁ = 0.12

Blue Area = 30 Square Units

ABCD = 3750 Square Units

| AC | = 0.428825434728

Angle HGL = 45°

Area of Quarter Circle = 𝜋

Green = 𝜋 / 3 = 1.0471975512

| DE | = 2.0069324298

Ratio of CDE / ABC = 2 / 9

Shaded Fraction = 4 / 9