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Blue Area = 5 Square Units

X = 3

Grey Area = 16 Square Units

Radius R = 6.82842712475

Min Yellow Fraction = 0.351749329868

Max Shaded Fraction = 0.0938363213561

X = Angle AED = 40°

Red Area = Blue Area = 4

Radius R = 1.01461187235

Side s = 1.61803398875

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Total = 181 Square Units

Missing Angle FDK = 45°

Orange Area = 12.087520559

Blue Area = 19.245008973

X = 10.3970967145

Shaded Area = 2.28318530718

Blue Area = 10.262358816

Blue Area = 2808 Square Units

Missing Angle = 135°

Blue/Total = 0.453081839322

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Mathematical Proof

X = 11.0769230769

R = 6.88190960236

Blue Area = 36 Square Units

Blue Area in Terms of AC

Blue Area = 25 Square Units

Radius R = 4.07142857143

Blue Area = 16 Square Units

Max ( Yellow Fraction ) = 0.318309886184

Min Yellow = 0.0697166932857

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Yellow Fraction = 1 / 5

Yellow Area = 2 Square Units

Diameter = 2 R = 65

Blue/Red = 0.291796067501

Blue / Yellow = 2

R / R minor = 1.34314575051

Blue Area = 4.87689437438

Shaded Fraction = 1 / 4

DEF = BEC = 73 °

Green Area = 8 / 3

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Angle CAF = 22.5 °

SIMPLIFIED

Blue Circles = 68 Square Units

Blue Area = 4 cm ²

Radius R = 9.21954445729

Solution: 30 seconds

X Y = 12

Updated: Square in Right Triangle

Square Area = 81 Square Units

R₃ by Law of Cosines

Segment BD = 4.8 = 24 / 5

Yellow = 98 Square Units