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Area, SM-Bank 109

Calculate the area of the following semi-circle, giving your answer to 2 decimal places.   (2 marks)
 

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\(173.18\ \text{m}^2\ (\text{2 d.p.})\)

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\(\text{Diameter}=21\ \text{m}\)

\(\therefore\ \text{Radius}=10.5\ \text{m}\)

\(\text{Area semi-circle}\) \(=\dfrac{1}{2}\times\pi r^2\)
  \(=\dfrac{1}{2}\times\pi\times 10.5^2\)
  \(=173.1802\dots\)
  \(\approx 173.18\ \text{m}^2\ (2\ \text{d.p.})\)