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Triangle In Circle

Geometry Level 2

In a circle of radius 1, an equilateral triangle is inscribed in the circle as drawn. What is the area of the blue region?

\[ \pi - \frac{1}{2} \sqrt{3} \] \[ \pi - \frac{3}{4} \sqrt{3} \] \[ \pi - \frac{1}{4} \sqrt{3} \] \[ \pi - \sqrt{3} \]

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by Chung Kevin

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