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Angle ADB = X = 120°

Orange / Green = 1

Proof that Blue = Green

Angle EAG = X = 18°

Shaded = 3.14159265359

Angle BCD = 150°

Orange Area = 2

Shaded = Blue + Orange !

Line Segment AC = 8

Blue Fraction = 7 / 50 = 0.14

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BCT = X = 45.992276342

Triangle ABC Perimeter = 56

Minor Radius R₂ =0.15153077165

R₂ =0.15153077165 ( Animation )

Proof: Orange = |BM| ⋅ |CN|

EF = X = 1.61803398875

Total Area = 25.6789993091

Shaded Fraction = 4 / 25

Perimeter AEF / AB = 3 / 2

R = 1 ⇒ Shaded Area = 2

Red Area ( AEF ) = 135

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Shaded = 14.625 = 117 / 8

MT = X = 3.46410161514

Side of Square X = ???

Shaded Area = 16

Line Segment FM = R = 3

Line Segment DO = X = 6

Shaded Fraction = 27 / 31

Red Area = 39.2699081699

Angle HAK = X = 45°

Shaded = 1536 / 25 = 61.44

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Area DEF = 14.8461497792

Angle BAD = X = 65°

Perimeter of Hexagon = 48

Angle CDF = X = 30°

Area of one Square is 88

Shaded Fraction = 23 / 27

Shaded Area = 2.41839915231

Ratio = 2.36602540378

ABO = X = 23.826770583°

Tilting Rectangle

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Ratio of | AB | : | CD | = 2

Angle BDJ = 135°

Line Segment AM = 8

Blue Area = 15

Shaded Area = 16.9705627485

Ratio = AB / CD = √ 3

Line Segment EF = 2s / 3 = 2

Angle ACE / Angle BDC = 2

4 / 9 if Angle MAO is Right

Green Area = Mauve Area