# Math

An equilateral triangle is inscribed in a circle. Each side of the triangle has length x. What is the area of the circle?

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1. since the medians intersect 2/3 of the way from each vertex to the opposite side,

r = 2/3 (√3/2 x) = x/√3
so, the area is
a = πr^2 = π/3 x^2

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