Question

Need help please assist me find the area of a regular hexagon

Answer 1

The area of the regular hexagon is
`166.3\ units^(2)`

Explanation:

we know that

The area of a regular hexagon can be divided into 6 equilateral triangles

so

step 1

Find the area of one equilateral triangle

`A=(1)/(2)(b)(h)`

we have

`b=r=8\ units`

`h=4√(3)\ units` ----> is the apothem

substitute

`A=(1)/(2)(8)(4√(3))`

`A=16√(3)\ units^(2)`

step 2

Find the area of 6 equilateral triangles

`A=(6)16√(3)=96√(3)=166.3\ units^(2)`