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IKMC 2027 - Grades 11-12 - Self-study SET 8 - Thematic Batch 3 Question 5

IKMC · IKMC 2027 - Grades 11-12 - Self-study SET 8 - Thematic Batch 3

Question 5

An equilateral triangle has side length 2. An arbitrary point is taken inside it. What is the probability that its distance from every vertex is greater than 1?

Original printed choices: A) 1 − 2π/3; B) 1 − π$\sqrt{3}$/6; C) $\sqrt{3}$/2 − π/4; D) $\sqrt{3}$/2 − π/2; E) $\sqrt{3}$ − π/2

Editorial task: Explain what information is missing or inconsistent, then derive the source’s intended answer under clearly stated additional assumptions.

Question illustration