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IKMC 2027 - Grades 11-12 - Self-study SET 4 - Thematic Batch 3 Question 25

IKMC · IKMC 2027 - Grades 11-12 - Self-study SET 4 - Thematic Batch 3

Question 25

The equilateral triangle shown has side length 4. The shaded region is bounded by six circles of radius 2 centred at the triangle’s vertices and side midpoints. What is its area?

Question illustration
  1. 2 π + 3$\sqrt{3}$
  2. 6 π
  3. 4 π − 6$\sqrt{3}$
  4. 9
  5. 6$\sqrt{3}$