Circles, SM-Bank 051

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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\(39.0\ \text{cm (1 d.p.)}\)

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

\(\text{Perimeter}\)	\(=2r+\dfrac{\theta}{360}\times 2\pi r\)
	\(=2\times 14+\Bigg(\dfrac{45}{360}\times 2\pi \times 14\Bigg)\)
	\(=38.9955\dots\)
	\(=39.0\ \text{cm (1 d.p.)}\)