Verified Answer :

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for full circle area is π R² [here R = radius],
for a sector of circle with angle β, area will be = (β/2) R², β is in radian,
here let β = 22.5° = (π 22.5/180) = π/8 radian,
now [(π/8)/2]  R² = 9π, [π/16] R² = 9π
R² = 9 16 = 144, 
R = √144 = 12 m

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