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Area, SM-Bank 111

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

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\(1250\pi\ \text{m}^2\)

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\(\text{Diameter}=100\ \text{m}\)

\(\therefore\ \text{Radius}=50\ \text{m}\)

\(\text{Area semi-circle}\) \(=\dfrac{1}{2}\times\pi r^2\)
  \(=\dfrac{1}{2}\times\pi\times 50^2\)
  \(=1250\pi\ \text{m}^2\)