Question
The ratio of the areas of the in circle and circumcircle of an equilaeral triangle is :
Answer: Option C
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Radius of in circle of an equilateral triangle = `(a)/(2sqrt(3)`
Radius of circumcircle of an equilateral triangle = `(a)/(sqrt(3)`
`:.` Required ratio = `(pi a^2)/(12) : (pi a^2)/(3) = 1/12 : 1/3 = 1 : 4`
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