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Area, SM-Bank 126

Calculate the area of the shaded region in the following composite shape, giving your answer correct to one decimal place.   (2 marks)
 

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\(2789.0\ \text{m}^2\ (1 \text{ d.p.})\)

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\(\text{Diameter semi-cirle}=114\ \text{cm}\)

\(\text{Radius semi-cirle}(r)=57\ \text{cm}\)

\(\text{Total area}=\text{Area square}-\text{Area semi-cirle}\)

\(A\) \(=s^2-\pi r^2\)
  \(=114^2-\pi\times 57^2\)
  \(=12\ 996-10\ 207.034\dots\)
  \(=2788.965\dots\approx 2789.0\ \text{m}^2\ (1 \text{ d.p.})\)