Question
The area of the circumcircle of an equilateral triangle
is 3π cm². The perimeter of the triangle is:Solution
Let side of an equilateral triangle = a cm ∴ circumcircle radius = a/√3 cm ∴ area of circumcircle = π(a/ √3)2 => πa2/3 = 3π ⇒ a2 = 9 ⇒ ∴ a = 3 cm ∴ Perimeter = 3 × a = 9 cm
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