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3 marksGeometric Problem Solving (Circles and Circle Theorems)

CSEC Mathematics · January 2009 · Paper 2 · Question 11(b)(ii)

The diagram shows a circle with centre, O. EA and EB are tangents to the circle, and angle AEB = 48°.

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

This question uses a figure or table from the paper — you'll see it when you practise.

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Other parts of this question

  1. 11(a)(i)Copy and complete the table for the graph of y = (1/2)tan x, for 10° ≤ x ≤ 60°.[1 mark]
  2. 11(a)(ii)Using a scale of 2 cm to represent 10° (10 degrees) on the horizontal axis and 10 cm to represent 1 unit on the vertical axis, plot the values from the table…[4 marks]
  3. 11(a)(iii)Use your graph to estimate the value of x when y = 0.7.[1 mark]
  4. 11(b)(i)Calculate, giving reasons for your answer, the size of angle OAE.[2 marks]
  5. 11(b)(iii)Calculate, giving reasons for your answer, the size of angle ACB.[2 marks]
  6. 11(b)(iv)Calculate, giving reasons for your answer, the size of angle ADB.[2 marks]

More practice: the rest of this paper · more Geometric Problem Solving (Circles and Circle Theorems) questions · all CSEC Mathematics past papers