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O-LevelAdditional MathematicsCircular measure4037/12 · Oct/Nov 2012 · Q87 Marks

[Figure 8.1] The diagram shows an isosceles triangle OBD in which OB = OD = 18 cm and angle BOD = 1.5 radians. An arc of the circle, centre O and radius 10cm, meets OB at A and OD at C.

  1. (i)Find the area of the shaded region.[3]
  2. (ii)Find the perimeter of the shaded region.[4]

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Mark scheme

Marking points from the official mark scheme (Oct/Nov 2012). The mark or mark type is shown in brackets.

  1. [M1] M1 for attempt at area of a sector with r = 10
  2. [M1] M1 for attempt at area of triangle with correct lengths used
  3. [A1]
  4. [B1] B1 for AC
  5. [M1] M1 for correct attempt at BD – can be given if seen in (i)
  6. [M1] M1 for attempt to obtain perimeter
  7. [A1]

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About this question

Topic
Circular measure, O-Level Additional Mathematics (syllabus 4037). Structured question, 7 marks.
Source
O-Level Additional Mathematics, Oct/Nov 2012 Paper 1 Variant 2, question 8.

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