Composite Figures, SM-Bank 024

James ate one-quarter of his extra large pizza. Calculate the perimeter of the remaining pizza, correct to the nearest centimetre. (2 marks)

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\(107\ \text{cm (nearest cm)}\)

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\(\text{Perimeter}\)	\(=2\ \text{straight sides} +\dfrac{3}{4}\times \text{circumference}\)
	\(=2\times 16 +\Bigg(\dfrac{3}{4}\times 2\pi r\Bigg)\)
	\(=32 +\Bigg(\dfrac{3}{4}\times 2\pi\times 16\Bigg)\)
	\(=32+24\pi\)
	\(=107.398\dots\)
	\(=107\ \text{cm (nearest cm)}\)