Area of Hexagon | Regular hexagon inside rectangle problem | Advanced math problems | Mathematics

This problem is an application of the basic trigonometric functions and the properties of regular hexagon. Regular hexagon is a basic geometrical shape in two dimension with a lot of symmetries. Basic idea behind the formula for finding the area of the Regular hexagon is it's symmetry.

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[vladimirkhomutov]

Who does not know for information: The formula for finding the area of a regular hexagon in terms of the radius of the inscribed circle is: S=2V3R^2 where R=3

[juhivarma]

Join BD. Use Law of Cosines on triangle BCD, find the side. Then use 3√3/2 x (side) x (side)