Top 10.940

Semicircle Area = 78.5398163397

X = FAC = 45

X = ADF = 60

Circle Radius = 4

X = BD = 5.65685424949

X = AD = 9.36

Shaded Area = 9

a = 0

Shaded Fraction = 4 / 9

X = AD = 27.2111025509

Top 10.939

R1 = 0.486098816301

X = AC = 2

Square Area = 10.9302085301

Rectangle ABCD Area = 216

Yellow Triangle Area = 20 / 3

X = BC = 2.44948974278

Green Area = 41.5692193817

Blue Triangle Area = 1 / 2

Segment AE = 2

X = DLK = 99

Top 10.938

X = ACM = 21

X = CAD = 15

Red Area - Yellow Area = 24

𝛼 = DAE = β = DBE = 30

Circle in Semicircle ( Elaborated )

tangent of θ = LM / BL = 1 / 3

X = AG = 21 / 4 = 5.25

Y / X = 1.74897690899

X = 135 / 2 = 67.5

Yellow Area = 13.8461538462

Top 10.937

BE / AE = 3

Tangent FG = 18

X = E2 = 12

X = BFC = 102

Yellow Area = 11.1535659519

Green Rectangle Area

Pink Area = 18

X = AFB = 20

Radius R = 65 / 8 = 8.125

Orange Area = 33.5800819504

Top 10.936

Shaded Area = 3 Square Units

Angle CBD = 45

X = DE = 7.24264068712

Pink Triangle Area = 12

X = ABD = 105

Red Semicircle Area = 27

Angle BAF = 30

X = DH = 4

Green Area = 3 / 10

Proof that a = b