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Area, SM-Bank 139

The diagram shows a sector with an angle of 120° cut from a circle with radius 10 m.

What is the area of the sector? Write your answer correct to 1 decimal place.  (2 marks)

NOTE:  \(\text{Sector area}=\dfrac{\theta}{360}\times \pi r^2\)

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\(104.7\ \text{m}^2\ (1\text{ d.p.})\)

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\(\text{Sector area}\) \(=\dfrac{\theta}{360}\times \pi r^2\)
  \(=\dfrac{120}{360}\times \pi\times 10^2\)
  \(=104.719\dots\)
  \(\approx 104.7\ \text{m}^2\ (1\text{ d.p.})\)