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In an equilateral triangle, the inradius \( r = \frac{s\sqrt{3}}{6} \), where \( s = 12 \).
So, \( r = \frac{12\sqrt{3}}{6} = 2\sqrt{3} \).
Area of circle = \( \pi r^2 = \pi (2\sqrt{3})^2 = \pi \cdot 4 \cdot 3 = 12\pi \).

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