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Area, SM-Bank 121

Milan cuts a sector from a circle so that  \(\dfrac{3}{8}\)  of the area of the circle remains.
 


 

If the circle's radius is 4 cm, what is the area of the shape, to the nearest square centimetre?  (2 marks)

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\(19\ \text{cm}^2\ (\text{nearest cm}^2)\)

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\(\text{Area}\) \(=\dfrac{3}{8}\times \pi r^2\)
  \(=\dfrac{3}{8}\times \pi\times 4^2\)
  \(=18.849\dots\)
  \(=19\ \text{cm}^2\ (\text{nearest cm}^2)\)