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2 marksGeometric Problem Solving (Circles and Circle Theorems)

CSEC Mathematics · January 2010 · Paper 2 · Question 12(a)(iii)

Two circles are shown. C is the centre of the smaller circle, GH is a common chord, and DEF is a triangle. Angle GCH = 88° and angle GHE = 126°.

Calculate, giving reasons for your answer, the measure of angle DEF.

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Other parts of this question

  1. 12(a)(i)Calculate, giving reasons for your answer, the measure of angle GFH.[2 marks]
  2. 12(a)(ii)Calculate, giving reasons for your answer, the measure of angle GDE.[3 marks]
  3. 12(b)(i)Calculate the area of triangle GCH.[3 marks]
  4. 12(b)(ii)Calculate the area of the minor sector bounded by arc GH and radii GC and HC.[3 marks]
  5. 12(b)(iii)Calculate the area of the shaded segment.[2 marks]

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