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In the regular hexagon shown below, what is the ratio of the area of the smaller circle to that of the bigger circle?
(2012)
  • a)
    3 : 7 + 2√3
  • b)
    3 : 7 + √3
  • c)
    3 : 16 + 4√3
  • d)
    3 : 7 + 4√3
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
In the regular hexagon shown below, what is the ratio of the area of t...

Let  EF = s unit
In Δ DEF : DF = 2EF cos30° = √3s
Semi perimeter of D DEF (in units) = S

Area of Δ DEF (in unit2 = Δ

Inradius of Δ DEF (in units) = r2

In radius of triangle DEF (in units) = r2
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