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v1 Measurement, STD1 M1 2019 HSC 25

The diagram illustrates a sector formed by a central angle of 105°, taken from a circle with a radius of 15 metres.

What is the perimeter of the sector? Write your answer correct to 1 decimal place.  (3 marks)

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`57.5\ \ (text(1 d. p.))`

Show Worked Solution
`text(Arc length)` `= 105/360 xx 2 xx pi xx 15`
  `= 27.49`

 

`:.\ text(Perimeter)` `= 27.49 + 2 xx 15`
  `= 57.49`
  `= 57.5\ \ (text(1 d. p.))`

Filed Under: Perimeter, Area and Volume (Std2-X) Tagged With: Band 4, smc-798-20-Perimeter and Area (Circular Measure)

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