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The ratio of the area of the inscribed circle to the area of the circumscribed circle of an equilateral triangle is _____
  • a)
    1/8
  • b)
    1/6
  • c)
    1/2
  • d)
    1/4
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
The ratio of the area of the inscribed circle to the area of the circu...
Let the radius of the circumscribed circle is R, and the radius of the inscribed circle is r.
Then area of circumscribed circle = πR2
Then the area of the inscribed circle = πr2
We know the angle between two adjacent sides in an equilateral triangle is 60°.
ΔOAB, Sin30 = r / R
R = 2r
The ratio of the area of the inscribed circle to the area of the circumscribed circle 
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