If a circle is inscribed in an equilateral triangle, what is the area of the triangle NOT taken up by the circle?

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If a circle is inscribed in an equilateral triangle, what is the area of the triangle NOT taken up by the circle?

(1) The area of the circle is \(12\pi.\)
(2) The length of a side of the triangle is \(12.\)

Answer: D

Source: Veritas Prep
Source: — Data Sufficiency |