Area of Hexagon

Area of Hexagon A hexagon is a geometric shape belonging to the polygon family of geometric structures. A hexagon is a closed shape and it has 6-sides with 6 interior angles. A regular hexagon is a hexagon which has all the 6 sides equal to each other. Area of a hexagon is region covered inside the hexagon and it can be calculated using the area of a regular polygon formula. Example 1: Calculate the area of a regular hexagon, given the side length equal to 3m. We can first use the given side length to find the apothem. Apothem = (Side length)/ (2 * tan(180/n))where n = number of sides = 6 Apothem = 3m/ (2 * tan(30)) = 2.598m Area of a regular polygon, A = 1/2 * Perimeter * apothem For a regular hexagon there are 6 sides. Hence Perimeter = n * side length= 6 * 3= 18m Hencethe area of the regular hexagon, A = 1/2 * (18m) * (2.598m) = 23.382m2 Example 2: Calculate the area of a regular hexagon, given the side length equal to 7m. We can first use the given side length to find the apothem. Apothem = (Side length)/ (2 * tan(180/n))where n = number of sides = 6 Apothem = 7m/ (2 * tan(30)) = 6.062m Area of a regular polygon, A = 1/2 * Perimeter * apothem For a regular hexagon there are 6 sides. Hence Perimeter = n * side length= 6 * 7= 42m Hence the area of the regular hexagon, A = 1/2 * (42m) * (6.062m) = 127.3m2