Area of Hexagon

The area of a hexagon is the total amount of space that is enclosed by all its six sides.

Since a hexagon is a two-dimensional shape, its area also lies in a two-dimensional plane. The unit of area is given in square units such as sq. m, sq. cm, sq. in or sq. ft.

Formulas

With Side Length

The basic formula to find the area of a regular hexagon is given below:

Let us solve some examples to understand the concept better.

Find the area of a hexagon with side length 16 cm.

Solution:

As we know,
Area (A) = ${\dfrac{3\sqrt{3}}{2}s^{2}}$ , here s = 16 cm
= ${\dfrac{3\sqrt{3}}{2}16^{2}}$
≈ 665.11 sq. cm

With Apothem

The formula to find the area of a hexagon with apothem is given below:

Let us solve an example to understand the concept better.

Find the area of a hexagon with a perimeter of 18 in and an apothem of 6.5 in.

Solution:

As we know,
Area (A) = 1/2 × P × a, here P = 18 in, a = 6.5 in
= 1/2 × 18 × 6.5
= 58.5 sq. in

With Radius

The radius of a regular hexagon is equal to its side length. Therefore the formula to find the area of a hexagon with radius is given below:

Find the area of a hexagon ABCDEF with radius 6 cm.

Solution:

As we know,
Area (A) = 3√3/2 × (r)², here r = 6 cm
= 3√3/2 × 6²
= 93.53 sq. cm