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Line Segment AG = h = 12

Semicircle = 8 Square Units

Shaded Fraction = 1 / 5

AE = X = ϕ = 1.61803398875

Angle BAD = X = 45°

Square = 19.5 Square Units

Easy Way

Shaded Fraction (Animation)

Angle MPN = X = 67.5°

X = CD = 0.854151739874

Missing Length = X = 125

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Area of Larger Hexagon = 15

Green = 65 Square Units

AC = 0.131652497587

DNF = 98.8725667849

| CD | = 11.4891252931

Show that APE = 60°

Red = 0.757359312881

ABCD = 16 Square Units

Blue = 168 Square Units

Segment AE = EP = X = 100

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Ratio of AD / BD = 7 / 4

Y Max = ϕ = 1.61803398875

AB = AC = 10.5830052443

Angle ADB = X = 45°

Ratio = 0.180339887499

tan COD = tan X = 7 / 24

3X = 45° ⇒ X = 15°

Line Segment CD = ???

Angle CFE = X = 25°

Ratio = 0.4472135955

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Red Fraction = 0.125 = 1 / 8

Five Circles. One Semicircle.

| KL | = 4.48528137424

Angle BOC < 180 ⇒ a / b = 8

Radius R = 3.95687430297

Shaded Fraction = 2 / 3

X = 9

Blue Area = 8.03847577293

Ellipse with Tangents NEW

Ratio = 1.09807621135

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Ratio of a / b = 3 / 5 = 0.6

Area of Trapezoid ABDE = 39.5979797464

tan AMD = 1.61803398875

Fraction = 0.763451288574

CDG = 180° - 45° = 135°

Without differentiation

Frac MAX = 0.7639320225

AD = X = 10.0498756211

4 / 9 = 0.4444444444444444

Angle CDE = X = 70°

Line Segment FG = X = 7