Q. 26 D3.8( 9 Votes )

The ratio of the area of an equilateral triangle inscribing a circle is
A. 4 : 1

B. 1 : 4

C. 2 : 1

D. None of the above

Answer :


Let the length of side of equilateral triangle be s units.


Height of equilateral triangle



The centroid of equilateral triangle is at A and lies on height BE.




Area of a circle = πr2


Area of the circum circle


Area of the circum circle


We know that


Area of a equilateral triangle, where a is the side of it.



So the ratio of the area of the equilateral triangle and the circle

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