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Arc Length and Sector Area Formulae · CSEC Additional Mathematics

15 past-paper questions on Arc Length and Sector Area Formulae, part of Trigonometry, from every CSEC Additional Mathematics paper on Quelpr.

  1. 4(a)4 marks· Additional Mathematics Q4 4(a)Calculate the area of the shaded region.
  2. 4(a)4 marks· Additional Mathematics Q4 4(a)Determine, in radians, the angle of the sector, giving your answer in terms of pi.
  3. 4(a)4 marks· Additional Mathematics Q4 4(a)Calculate the area of the shaded region in terms of x.
  4. 4(a)4 marks· Additional Mathematics Q4 4(a)What is its area?
  5. 4(a)(i)1 mark· Additional Mathematics Q4 4(a)(i)If the building space is 50π/3 m², calculate the angle ACB in radians.
  6. 4(a)(i)2 marks· Additional Mathematics Q4 4(a)(i)Find the area of the sector OAB.
  7. 4(a)(i)3 marks· Additional Mathematics Q4 4(a)(i)Determine the angle of the sector in radians.
  8. 4(a)(i)5 marks· Additional Mathematics Q4 4(a)(i)Calculate, giving your answer in terms of π, the area of the shape OACMN.
  9. 4(a)(ii)4 marks· Additional Mathematics Q4 4(a)(ii)Working in radians, calculate the area used for farming.
  10. 4(a)(ii)2 marks· Additional Mathematics Q4 4(a)(ii)Calculate the perimeter of the sector.
  11. 4(a)(ii)5 marks· Additional Mathematics Q4 4(a)(ii)Calculate, giving your answer in terms of π, the perimeter of the shape OACMN.
  12. 4(a)(ii)4 marks· Additional Mathematics Q4 4(a)(ii)Hence, find the area of the shaded region, H.
  13. Q281 mark · multiple choice· CSEC Additional Mathematics · 2013 · Paper 1What is the arc length, x, in metres, along the outer edge of the protractor in the region of angle AOB?
  14. Q281 mark · multiple choice· CSEC Additional Mathematics · 2016 · Paper 1What is the arc length, x, in metres, along the outer edge of the protractor?
  15. Q281 mark · multiple choice· CSEC Additional Mathematics · 2018 · Paper 1Item 28 refers to the following protractor which represents half of a circle. The protractor has a radius of 1.5\text{ metres} and the angle AOB measures 45^\circ. What is the arc length, x, in metres, along…