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2 marksGeometric Problem Solving (Circles and Circle Theorems)

CSEC Mathematics · Question 9(a)(ii)

A diagram shows a circle where AC is a diameter. B and D are two other points on the circle and DCE is a straight line. Angle CAB = 28° and ∠DBC = 46°. This section requires calculating angles and providing reasons.

Calculate the value of ∠DAC. Show detailed working where necessary and give a reason to support your answers.

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Other parts of this question

  1. 9(a)(i)Calculate the value of ∠DBA. Show detailed working where necessary and give a reason to support your answers.[2 marks]
  2. 9(a)(iii)Calculate the value of ∠BCE. Show detailed working where necessary and give a reason to support your answers.[2 marks]
  3. 9(b)(i)Determine the length PS.[2 marks]
  4. 9(b)(ii)Determine the length PQ.[1 mark]
  5. 9(b)(iii)Determine the area of PQRS.[3 marks]

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