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IKMC 2027 - Grades 11-12 - Self-study SET 11 - Thematic Batch 3 Question 26

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

Question 26

The pictured eye is made from two quarter-circle arcs, each of length 1. A small circle tangent to both arcs is then drawn. What is its circumference?

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

Editorial task: Resolve the missing assumption or inconsistent choices. Derive the valid literal conclusion and distinguish it from the source’s intended answer.

Question illustration