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HKIMO 2026 Grade 8 National Preliminary Set 03 Question 20

HKIMO · HKIMO 2026 Grade 8 National Preliminary Set 03

Question 20

Four circles fit inside a square of perimeter 16 cm as shown. Find the shaded area in $\mathrm{cm}^2$.

Editorial interpretation of the symmetric drawing: the four circles are congruent; each is tangent to one square side at its midpoint and passes through the square centre.

Question illustration
  1. $4+4\pi$
  2. $2+4\pi$
  3. $2+2\pi$
  4. $4+2\pi$