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Area, SMB-002

 What is the area of the shaded part of this quadrant, to the nearest square centimetre?  (3 marks)

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`42\ text{cm²}`

Show Worked Solution
`text(Area)` `=\ text(Area of Sector – Area of triangle)`
  `= (theta/360 xx pi r^2)-(1/2 xx l xx h)`
  `= (90/360 xx pi xx 8^2)-(1/2 xx 4 xx 4)`
  `= 50.2654…-8`
  `= 42.265…\ text(cm²)`
  `= 42\ text{cm²  (nearest cm²)}`

Filed Under: Area and Surface Area Tagged With: num-title-ct-corea, smc-4234-20-Area (circular)

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