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IKMC 2027 - Grades 11-12 - Self-study SET 7 - Thematic Batch 3 Question 2

IKMC · IKMC 2027 - Grades 11-12 - Self-study SET 7 - Thematic Batch 3

Question 2

Inside square ABCD of side L cm, k smaller squares have diagonals on AC, with consecutive squares sharing a vertex as shown. Each small square has an inscribed circle. An ant may walk only along square edges or circle arcs. What is the shortest distance from A to C?

Question illustration
  1. L(1 + π/2)
  2. L($\sqrt{2}$ + π/4)
  3. L(1 + π/4)
  4. 2L
  5. All four other choices are false.