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2 marksGeometric Problem Solving (Circles and Circle Theorems)

CSEC Mathematics · January 2014 · Paper 2 · Question 10(a)(i)

In the diagram below, not drawn to scale, O is the centre of the circle. The lines SK and AF are parallel. ∠KSW = 62° and ∠SAF = 54°.

Calculate, giving reasons for your answer, the measure of ∠FAW.

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Other parts of this question

  1. 10(a)(ii)Calculate, giving reasons for your answer, the measure of ∠SKF.[2 marks]
  2. 10(a)(iii)Calculate, giving reasons for your answer, the measure of ∠ASW.[2 marks]
  3. 10(b)(i)a)Calculate, correct to one decimal place, the distance QR.[3 marks]
  4. 10(b)(i)b)Calculate, correct to one decimal place, the area of triangle PQR.[2 marks]
  5. 10(b)(ii)Calculate the bearing of R from P.[4 marks]

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