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Circles, SM-Bank 042

Use the arc length formula below to calculate the arc length of the sector, correct to one decimal place.  (2 marks)

\(l=\dfrac{\theta}{360}\times 2\pi r\)

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\(12.4\ \text{mm  (1 d.p.)}\)

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\(l\) \(=\dfrac{\theta}{360}\times 2\pi r\)
  \(=\dfrac{45}{360}\times 2\pi \times 15.8\)
  \(=12.4092\dots\)
  \(=12.4\ \text{mm  (1 d.p.)}\)