Question

I need help solving this equation for my math homework

Answer 1

Given:

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

Step-by-step explanation:

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

So,

From the formula:

`\begin{gathered} r=(d)/(2) \\ r=(36.6)/(2) \\ r=18.3mm \end{gathered}`

Now,

From the formula of the perimeter of the semicircle:

`P=(\pi+2)r`

Then,

Put the values into the above formula:

So,

`\begin{gathered} P=(\pi+2)r \\ P=(3.14+2)18.3 \\ P=(5.14)(18.3) \\ P=94.062mm \end{gathered}`

Final answer:

Hence, the value of the perimeter is shown below:

`P=94.06\text{ millimeters}`