Area, SMB-001

Find the area of the shaded part in the diagram below, giving your answer in square metres to 1 decimal place. (3 marks)

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\(62.8\ \text{m}^2 \)

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\(\text{Shaded area}\)	\(=\ \text{Area of large sector – Area of small sector}\)
	\(= \dfrac{30}{360} \times \pi R^2-\dfrac{30}{360} \times \pi r^2 \)
	\(= \dfrac{1}{12} \pi (16^2-4^2) \)
	\(= 62.83… \)
	\(=62.8\ \text{m}^2\ \ \text{(1 d.p.)} \)