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IKMC 2027 - Grades 11-12 - Self-study SET 9 - Thematic Batch 3 Question 26

IKMC · IKMC 2027 - Grades 11-12 - Self-study SET 9 - Thematic Batch 3

Question 26

Four congruent semicircles touch a square of side a as shown. Each semicircle is tangent to two others. What is their radius?

Question illustration
  1. $\frac{a\sqrt{3}}4$
  2. $\frac{a(\sqrt{3}+1)}4$
  3. $\frac{a(\sqrt{3}-1)}2$
  4. $\frac{\sqrt{2}a}4$
  5. $\frac{2a}5$