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SEAMO 2017 — Paper E — Grade 9–10 Question 14

SEAMO · SEAMO 2017 — Paper E — Grade 9–10

Question 14

Four identical circles are circumscribed by a square of area $64\,\mathrm{cm}^2$. A smaller circle touches all four circles as shown. Find the smaller circle’s diameter.

Question illustration
  1. $2(\sqrt2-1)$
  2. $3(\sqrt2-1)$
  3. $4(\sqrt2-1)$
  4. $3(\sqrt3-2)$
  5. None of the above