Question

If a hexagon has a radius of 6, what is its area?

Answer 1

`54 sqrt 3`

Explanation:

So you have a triangle `OA = 6, OB = 6, AB = L`
`angle O = 360/6 = 60º`
Hence the other angles are `(180-60)/2 = 60º`
Then the triangle is equilateral. `L = 6`

Now sum 6 triangles' area.

`6 cdot (L^2 sqrt 3)/4`