Circles, SM-Bank 048

Calculate the total perimeter of the quandrant below, giving your answer as an exact value in terms of \(\large \pi\). (2 marks)

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\(14+\dfrac{7\pi}{2}\ \text{m}\)

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\(\text{Perimeter}=2\times \text{radius}+\dfrac{\text{circumference}}{4}\)

\(\text{Perimeter}\)	\(=2r+\dfrac{2\pi r}{4}\)
	\(=2\times 7+\Bigg(\dfrac{2\pi \times 7}{4}\Bigg)\)
	\(=14+\dfrac{7\pi}{2}\ \text{m}\)