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5 marksArc Length and Sector Area Formulae

CSEC Additional Mathematics · 2012 · Paper 2 · Question 4(a)(i)

A diagram shows a sector of a circle, OAC, with center O and radius 4 m, adjoining a square OCMN. The sector AOC subtends an angle of π/3 at O.

Calculate, giving your answer in terms of π, the area of the shape OACMN.

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Other parts of this question

  1. 4(a)(ii)Calculate, giving your answer in terms of π, the perimeter of the shape OACMN.[5 marks]
  2. 4(b)Evaluate without using calculators, the exact value of cos(7π/12).[3 marks]
  3. 4(c)Prove the identity 1 / (sec θ + tan θ) = (1 - sin θ) / cos θ.[4 marks]

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