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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