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r₁ = 16, r₃ = 64 / 9

BF = X = 2.82842712475

X = 7.12132034356

BE = X = 4.18330013267

AOB = 32.2309526355°

Angle DAF = X = 27°

Orange Area = 36

s = 8 ⇒ FH = 5 ⇒ Green = 32

Angle PST = 90°

Shaded Area = ???