Question

How do you find the area of a regular hexagon when you only know the side length (12 units)?

Answer 1

`3 * sqrt 3 / 2 * 144 = 216 sqrt 3` units²

Explanation:

`A = p * a`

side "L"enght = `L = r`

`2p = 6 r`

`a` is the height of the triangle of sides `(r, r, r)` because the angles are `(pi/3, pi/3, pi/3)`

You use Pythagorean theorem to show that `a = (r sqrt 3) / 2`

`A = 3r * (r sqrt 3)/2`