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Earlier discussion
2 older comments kept for context.
Segun ojodun
The solution is quite different from the question.
Oluwaseun Adeyemi
Area of a sector of a circle = \(\cfrac{\theta}{360^{\circ}} \times \pi r^2\)
= \(\cfrac{30^{\circ}}{360^{\circ}} \times \cfrac{22}{7} \times 4^2\)
= \(4.19\text{ cm}^2\)