Top 10.92

Green Area = 3.6

y = 1 / x, x > 0

Orange / Green = 4

X = EO = 1.41421356237

Radius R = 0.414213562373

α = Angle BAD = 75

α = Angle ACB = 15

Shaded Fraction = 0.226724920529

α = 45°

Soft Ice Theorem

Top 10.91

X = ABD = 25

Green Area = Orange Area

Fraction = 0.320501109478

Area of Triangle = 540

X = BD = 4.24264068712

R₁ = R ⇒ CDT = BGP = 60°

R = 9 ⇒ DE = 11.57017697

DFE = 36° ⇒ R = 20

X₁ = 1 and X₂ = -1.13567

Shaded Area in Terms of X

Top 10.90

Shaded Fraction = 7 / 16

BEC = 45° ⇒ X = BD = 6

X = CAD = 40°

S ² = 83.9473319221

AC = 2 ⇒ Diameter AB = 14

AC = 3 ⇒ R = 4.5

Shaded Fraction = 1 / 4

Blue Fraction = ?

Coloured Fraction = 3 / 5

X = CE = 6

Top 10.89

X = DE = 1.73205080757

Blue Area = 96

Segment AB = 1.9364916731

Proof: Perimeter = Area = 24

Orange Area = 19.5039475

Shaded Fraction = 1 / 9

Orange Fraction = 1 / 48

Perimeter ( dotted ) = ?

Angle DFE = 30

Red Area - Orange Area = 36

Top 10.88

S = 15 ⇒ X = DE = 7

X = BDE = 20

X = BC = 6.1803398875

X = AE = 8

X = AB = 1.57079632679

Orange Fraction = 2 / 9

Orange Fraction = 2 / 3

Orange Fraction = 1 / 4

Ratio1 = BC / CD = 1

Line Segment AF = 17