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2 marksGeometric Problem Solving (Circles and Circle Theorems)

CSEC Mathematics · May/June 2008 · Paper 2 · Question 11(a)(i)

In the diagram below, not drawn to scale, PQ is a tangent to the circle, centre O. PR is parallel to OS and angle SPR = 26°.

Calculate, giving reasons for your answer, the size of angle PTS.

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Other parts of this question

  1. 11(a)(ii)Calculate, giving reasons for your answer, the size of angle RPQ.[2 marks]
  2. 11(b)(i)Calculate the value of θ to the nearest degree.[3 marks]
  3. 11(b)(ii)Calculate the area of triangle AOB.[2 marks]
  4. 11(b)(iii)Hence, calculate the area of the shaded region. [Use π = 3.14].[3 marks]
  5. 11(b)(iv)Calculate the length of the major arc AB.[3 marks]

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