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Circles, SM-Bank 045

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

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\(442.2\ \text{cm  (1 d.p.)}\)

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\(\text{Perimeter}=\text{diameter}+\dfrac{\text{circumference}}{2}\)

\(\text{Perimeter}\) \(=d+\dfrac{\pi d}{2}\)
  \(=172+\Bigg(\dfrac{\pi \times 172}{2}\Bigg)\)
  \(=442.1769\dots\)
  \(=442.2\ \text{cm  (1 d.p.)}\)