# 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.

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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