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O-LevelAdditional MathematicsCircular measure4037/12 · Oct/Nov 2017 · Q108 Marks

The diagram shows an isosceles triangle ABC, where AB = AC = 5cm. The arc BEC is part of the circle centre A and has length 6.2cm. The point D is the midpoint of the line BC. The arc BFC is a semi-circle centre D.

  1. (i)Show that angle BAC is 1.24 radians.[1]
  2. (ii)Find the perimeter of the shaded region.[3]
  3. (iii)Find the area of the shaded region.[4]

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About this question

Topic
Circular measure, O-Level Additional Mathematics (syllabus 4037). Structured question, 8 marks.
Source
O-Level Additional Mathematics, Oct/Nov 2017 Paper 1 Variant 2, question 10.

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