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SEAMO 2016 — Upper Secondary — Paper E Question 6

SEAMO · SEAMO 2016 — Upper Secondary — Paper E

Question 6

$ABC$ is an equilateral triangle of side $6$ cm. It first rotates about $B$, then $C_1$, without sliding. As a result, Vertex $A$ travels from $A$ to $A_1$, then comes to rest at $A_2$. Find the length, in cm, of the path travelled by vertex $A$, in terms of $\pi$.

Question illustration
  1. $8\pi$
  2. $10\pi$
  3. $12\pi$
  4. $14\pi$
  5. None of the above