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R = 3.125 = 25 / 8

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[ ABC ] = 20 for R = 5

X = BF = 3

X = ABP = CBP = 20

X = ACB = 24

Shaded Triangle Area = 14

Green Area = 26

Circle Perimeter = 20.8206445531

X = BHG = 75

Yellow Square Area = 64

X = 7.07106781187

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Total Area = 100 u ^ 2

X = BAD = 75

Proof that Y = sqrt ( s X )

X = BKC = GKI = 54

X = CAL = 45

Angle BKL = 45

X = CD = 8

X = ACB = 24

Semicircle Area = 353.429173529

X = ABD = 20

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Green Quadrilateral Area = 15

Shaded Octagon Area = 6

Height H = CE = 6

Ratio of AE to DG = AE / DG = 1

Alpha = ABD = 15

Orange Area = 18.6154150604

Blue Square Area = 20 u ^ 2

Semicircle Radius R = 17

X = Diagonal AC = 4

X = AED = 18

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X = ADE = 20

CE = ½ ET = 0.616781257308

X = 3

X = CAD = 40

FL = 1.61803398875

Green Area in terms of Diagonal BF

X = BEC = 150

Pink Triangle Area = 6

R = 1.93185165258

X = AE = 4

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X = AED = BEC = 60

Green Triangle Area = 150

Without Trigonometry

Simplified

Pink Trapezoid Area = 42

Ratio of X to Y = 2

X = DAF = 15

X = OP = 5.09901951359

X = 6 / 5 = 1.2

Alpha = ADF = 40

Radius R = 1.58113883008

X = AD = 3 / 7 = 0.428571428571