Respuesta :

Answer:

The area of the regular hexagon is 166.3 units^{2}  

Step-by-step explanation:

we know that

The area of a regular hexagon is equal to the area of six equilateral triangles

so

The area of a regular hexagon is

A=6[(1/2)bh]

The length side of the regular hexagon is equal to the radius

b=8 units

h=4\sqrt{3}  units -----> the apothem

substitute the values

A=6[(1/2)(8)(4\sqrt{3})]=166.3 units^{2}