Composite Figures, SM-Bank 020

Calculate the perimeter of the composite shape below correct to the nearest centimetre. (2 marks)

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\(39\ \text{cm (nearest centimetre)}\)

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\(\text{Radius}=8\ \text{cm}\)

\(\text{Perimeter}\)	\(=4\ \text{straight sides}+1\ \text{quadrant}\)
	\(=2\times 5+10+ 6+\Bigg(\dfrac{1}{4}\times 2\pi r\Bigg)\)
	\(=26+\Bigg(\dfrac{1}{4}\times 2\pi \times 8\Bigg)\)
	\(=26+4\pi\)
	\(=38.566\dots\)
	\(\approx 39\ \text{cm (nearest centimetre)}\)