Composite Figures, SM-Bank 021

Write an expression in terms of \(\large \pi\) for the perimeter of the shape below. Give your answer in simplest form. (2 marks)

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\(2r +\dfrac{3\pi r}{2}\)

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\(\text{Radius}=r\)

\(\text{Perimeter}\)	\(=2\ \text{straight sides}+\dfrac{3}{4}\ \text{circumference}\)
	\(=2\times r+\Bigg(\dfrac{3}{4}\times 2\pi r\Bigg)\)
	\(=2r+\Bigg(\dfrac{6}{4}\times \pi \times r\Bigg)\)
	\(=2r +\dfrac{3\pi r}{2}\)