Top 10.962

X = Line Segment DE = 5

X = BC = 12

Square DEFG Area = 64

Green Area = 12.5 = 25 / 2

X = ∠ B'OO' = 55

X = BAC = 15

DF / CF = 0.366025403784

Circle Area = 28.2743338823

X = ABD = 65

X = PQ = 11

Top 10.961

Green Semicircle

Red Square Area = 32

[ ABC ] = 6 = 1.2

[ CDFE ] = 2

Circle in Right Triangle

[ CDE ] = 7.50555349947

X = BAE = 66

X = BD = 5.7735026919

R₁ = 0.7071067 & R = 1.4142135

X = AG = 2.82842712475

Top 10.960

X = 3 / 7 = 0.428571428571

Green Quadrilateral Area = 50

B = AC = 3

X = EF = 4

X = ACO = 21

X = BAC =  30

Circle Area = 4.12516971903

Painted Area = 16.5770862247

X = BE = 3.16227766017

tan 𝛽 = 0.954692530486

Top 10.959

Angle ADB = 60

X = PQ = 3

Orange Area = 13.08996939

X = CAD = 40

Blue Triangle Area = 30

a / b = 1.61803398875

X = BC = 12

Missing Angle BCD = 65

[ CDN ] / [ AEF ] = 2

tan 𝛼 = 0.543689012692

Top 10.958

Cos alpha = 3 / 5 = 0.6

X = BCE = 21

Orange Area = 8

X = CD = 6

X = Angle CBD = 10

Shaded Area = 13 / 18

Another Approach

New / Simplified

Green / Purple = 1.2 = 6 / 5

X = ABD = 24

Circle Area = 79.4142289853

Triangle Height BC = 6