Composite Figures, SM-Bank 011

Explain using mathematical reasoning why the rule for finding the perimeter of the figure below is \(p=4\pi r\). (2 marks)

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\(\text{Diameter}=2r\ \longrightarrow\ \text{Radius}=r\)

\(\text{Perimeter}\)	\(=4\ \text{semi-circles}=2\ \text{circles}\)
	\(=2\times 2\pi r\)
	\(=4\pi r\ \text{units}\)