Circles, SM-Bank 050

Calculate the total perimeter of the sector below, giving your answer correct to one decimal place. (2 marks)

NOTE: \(\text{Perimeter}=2\times \text{radius}+\text{arc length}\)

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\(1523.6\ \text{mm (1 d.p.)}\)

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\(\text{Perimeter}=2\times \text{radius}+\text{arc length}\)

\(\text{Perimeter}\)	\(=2r+\dfrac{\theta}{360}\times 2\pi r\)
	\(=2\times 500+\Bigg(\dfrac{60}{360}\times 2\pi \times 500\Bigg)\)
	\(=1523.5987\dots\)
	\(=1523.6\ \text{mm (1 d.p.)}\)