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GRE
GRE Quantitative Reasoning Section

Area of Inscribed Regular Hexagon

Very Hard Geometry Polygons

Consider a regular polygon with $n$ sides inscribed in a circle of radius $r$. The area $A$ of the polygon can be calculated using the formula:

$$A = \f\frac{1}{2} n r^2 \sin\left(\f\frac{2\pi}{n}\right)$$

Suppose that a regular hexagon is inscribed in a circle of radius 6. What is the area of the hexagon?

Hint

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