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SEAMO 2027 - Paper D - SET 06 - Self-study Question 6

SEAMO · SEAMO 2027 - Paper D - SET 06 - Self-study

Question 6

The chord $AB$, common to the circles with centres $m$ and $n$, has length $2\sqrt3$. It is one side of an equilateral triangle inscribed in circle $m$ and one side of a regular hexagon inscribed in circle $n$. Find the ratio of the areas of circle $m$ to circle $n$.

Source wording: “right hexagon” is not a standard description here. In this practice question, interpret it as a regular hexagon inscribed in the circle.

Question illustration
  1. $1:\sqrt3$
  2. $3:2\sqrt3$
  3. $1:3$
  4. $\sqrt3:4$
  5. None of the above