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CSEC Additional Mathematics · 2017 · Paper 2 · Question 4(a)(i)

Figure 1 shows a plot of land, ABCD, where section ABC is used for building and the remainder for farming. The radius BC is 10 m and angle BCD is a right angle. The building space is 50π/3 m².

If the building space is 50π/3 m², calculate the angle ACB in radians.

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Other parts of this question

  1. 4(a)(ii)Working in radians, calculate the area used for farming.[4 marks]
  2. 4(b)Show without using a calculator that cos(π/4 - π/3) / sin(2π/3) = (√2 + √6) / (2√3).[4 marks]
  3. 4(c)Prove the identity 1 - cos²θ / (1 + sinθ) = sinθ.[3 marks]

More practice: the rest of this paper · more Arc Length and Sector Area Formulae questions · all CSEC Additional Mathematics past papers