Q. 214.3( 18 Votes )

The area of circumscribing circular region of an equilateral triangle is 462 sq. cm. Let us write by calculating length of each side of this triangle.

Answer :


Given: Area of the circumscribing circular region = 462 cm2


Circle is centered at A.


Area of a circle = πr2



r = 7√3


So, the radius of the circum circle of this triangle = 7√3 cm.


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



BE = 10.5√3 cm


Height of equilateral triangle = 10.5√3 cm


Height of equilateral triangle



Side of the triangle = 21 cm


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