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Area, SM-Bank 120

A one-on-one basketball court is a composite shape made up of a rectangle and a semicircle, as shown below.
 

Calculate the area of the court, giving your answer correct to one decimal place.   (2 marks)

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\(104.5\ \text{m}^2\ (1 \text{ d.p.})\)

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\(\text{Diameter}=12\ \text{m}\)

\(\therefore\ \text{Radius}=6\ \text{m}\)

\(\text{Total area}=\text{Area semi-circle}+\text{Area rectangle}\)

\(A\) \(=\dfrac{1}{2}\times \pi r^2+lb\)
  \(=\dfrac{1}{2}\times \pi\times 6^2+12\times 4\)
  \(=104.548\dots\)
  \(=104.5\ \text{m}^2\ (1 \text{ d.p.})\)