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4 marksArc Length and Sector Area Formulae

CSEC Additional Mathematics · 2015 · Paper 2 · Question 4(a)

A diagram shows a circle of radius r = 4 cm, with centre O and sector AOB subtending an angle θ = π/6 radians at the centre. The area of triangle AOB is given by (1/2)r^2 sin θ.

Calculate the area of the shaded region.

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Other parts of this question

  1. 4(b)Solve the equation 8 sin^2 θ = 5 - 10 cos θ, where 0° ≤ θ ≤ 360°, giving your answer correct to one decimal place.[4 marks]
  2. 4(c)Prove the identity (sin θ + sin 2θ) / (1 + cos θ + cos 2θ) = tan θ.[4 marks]

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