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SMO 2009 Junior Round 1 Question 7

SMO · SMO 2009 Junior Round 1

Question 7

Coins of the same size are arranged on a very large table (the infinite plane) so that each coin touches six other coins. Find the percentage of the plane covered by the coins.

Question illustration
  1. $\frac{20\pi}{\sqrt3}\%$
  2. $\frac{50\pi}{\sqrt3}\%$
  3. $16\sqrt3\pi\%$
  4. $17\sqrt3\pi\%$
  5. $18\sqrt3\pi\%$