Q26 of 35 Page 311

The ratio of the area of an equilateral triangle inscribing a circle is


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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