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IKMC 2027 - Grades 9-10 - Self-study SET 1 - Thematic Batch 3 Question 21

IKMC · IKMC 2027 - Grades 9-10 - Self-study SET 1 - Thematic Batch 3

Question 21

A semicircle of radius 1 cm is shown. Point A satisfies ∠AOB=120°. Point C is the midpoint of arc AB, and D is the perpendicular projection of C onto OB. What is the shaded area, in square centimetres?

Question illustration
  1. π/3 − 1/2
  2. π/2 − 1
  3. π/3 − √3/3
  4. π/3 − 3√3/8
  5. π/2 − √3/3