Question

Find the area:
A= ____

Answer 1

Answer: 5.22 n squared

Explanation:

Answer 2

The area is 2.61 in²

The 3rd option listed in the picture.

Explanation:

The formula for the area of a hexagon when given the side length and the apothem is

`A=(r*P)/(2)`

Note

`A` is the area

`r` is the apothem

`P` is the perimeter

The formula for the perimeter of a hexagon is

`P=6s`

Note

`P` is the perimeter

`s` is the side length

Numerical Evaluation

We are given

`r=0.87\\s=1`

Lets evaluate the perimeter first.

Substituting the side value into the perimeter equation gives us

`P=6*1\\P=6`

Now that we know the perimeter we can evaluate the area.

Substituting our values into the area equation gives us

`A=(0.87*6)/(2)`

`A=(5.22)/(2)`

`A=2.61`