Respuesta :

Given:

There are given that the diameter of the semicircle is 36.6mm.

Explanation:

To find the perimeter, first, we need to find the value of radius r.

So,

From the formula:

[tex]\begin{gathered} r=\frac{d}{2} \\ r=\frac{36.6}{2} \\ r=18.3mm \end{gathered}[/tex]

Now,

From the formula of the perimeter of the semicircle:

[tex]P=(\pi+2)r[/tex]

Then,

Put the values into the above formula:

So,

[tex]\begin{gathered} P=(\pi+2)r \\ P=(3.14+2)18.3 \\ P=(5.14)(18.3) \\ P=94.062mm \end{gathered}[/tex]

Final answer:

Hence, the value of the perimeter is shown below:

[tex]P=94.06\text{ millimeters}[/tex]