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Answer :
Area of the shaded region
= Area of sector AOC - Area of sector OBD
\( = \ \frac{40}{360} \ × \ \pi \ × \ 14^2 \ - \ \frac{40}{360} \ × \ \pi \ × \ 7^2 \)
\( = \ \frac{1}{9} \ × \ \frac{22}{7}(196 \ - \ 49) \) \(= \ \frac{22}{63} \ × \ 147 \ = \ \frac{154}{3} \)cm2