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Circular Segment AB = 4

Shaded = 11.5191730632

AB = h = 7.93725393319

Angle BED = 105°

Yellow = 2.59807621135

Blue Area = 27.4950610125

X = BAP = 30°

Total Area = 217 /2 = 108.5

X = CD = 8

Blue Area = 6 Square Units

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EG = 9.69250328979

Area = 0.392699081699 k

BC = 20.7846096908

Green = 15 / 4 Square Units

AE / DE = 1.61803398875

Line Segment BP = 6

Blue Area = 24.3569644814

Line Segment BN = 1

Missing Angle CMD = 60°

1.15470053838 & 2 / 3

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Ratio of a / A = 1 / 2 = 0.5

Ratio of Blue : Gold : Green

ACB = α = 19°

α = CAD = 15°

Blue : Red : Green = 2 : 3 : 5

α = 26.5650511771°

Green Area / Red Area = ϕ

Area of Trapezoid = 45

Easy Way

Harder Way

Blue Area = 26.9506042226

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Proof: ABH = CBG

Blue Area = 19 / 4 Square Units

Blue Area = 122.718463031

BD = 2.41421356237

Line Segment MN = 7 / 2

Proof that a + b = c + d

Yellow / Hexagon = 1 / 4

Proof that AED = CEF

Ratio of c / d = 2 / 3

Blue Square = 9 Square Units

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Blue Area = 3 Square Units

Angle AIL = 45°

Line Segment BD = 6

CD = X = 15.8823801743

AC = X = 3.46410161514

Line Segment IJ = 2.2

Radius R = 6.35579965764

Blue Area = 2.82842712475

Rectangle in Terms of a & b

Missing Angle AMD = 80°