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Area, SM-Bank 037

The pie chart below displays the results of a survey.
 


 

Eighty per cent of the people surveyed selected ‘agree’.

Twenty per cent of the people surveyed selected ‘disagree’.

The radius of the pie chart is 16 mm.

Calculate the area of the "agree" sector, correct to the nearest square millimetre.  (2 marks)

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\(643\ \text{mm}^2\)

Show Worked Solution

\(\text{Agree represents }80\text{% of the circle}\)

\(\text{Area}\) \(=80\text{%}\times \pi r^2\)
  \(=0.8\times \pi\times 16^2\)
  \(=643.39\dots\)
  \(\approx 643\ \text{mm}^2\)