# Area of Hexagon

## Online Tutoring Is The Easiest, Most Cost-Effective Way For Students To Get The Help They Need Whenever They Need It.

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