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Area of the shaded region = Area of the larger circle - Area of the smaller circle without sector - Area of the sector of the larger circle
= πR^2 - (πr^2 - πr^2theta/360) - πR^2theta/360
= 22/7 * 14 * 14 - (22/7*7*7 - 22/7*7*7*40/360) - 22/7*14*14*40/360
= 616 - (154 - 17.11) - 68.44
= 616 - 136.89 - 68.44
= 410.67 cm^2 (approx)
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