# Algebraic Geometry

Level pending

Let ABC be an equilateral triangle with side lengths of $$x$$. ABC is inscribed in a circle with some radius. Let $$f$$ be a function that describes the relationship between the area of triangle ABC and its side length in terms of $$x$$. Let $$g$$ be a function that describes the relationship between the side length of ABC and the radius of the circle that it is inscribed in, once again in terms of $$x$$. What is $$f+g(24)$$ rounded to the nearest whole number?

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