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Area, SM-Bank 128

Calculate the area of the following sector, giving your answer as an exact value in terms of \(\pi\).   (2 marks)

NOTE:  \(\text{Sector area}=\dfrac{\theta}{360}\times \pi r^2\)

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\(27\pi\ \text{mm}^2\)

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\(\theta=30^{\circ} \ \ r=18\ \text{mm}\)

\(A\) \(=\dfrac{\theta}{360}\times \pi r^2\)
  \(=\dfrac{30}{360}\times \pi \times 18^2\)
  \(=\dfrac{1}{12}\times 324\pi\)
  \(=27\pi\ \text{mm}^2\)