Question

The perimeter of a semicircle is 24.672 inches. What is the semicircle's diameter? Use 3.14 for n.

Answer 1

Given:

The perimeter of a semicircle is 24.672 inches.

Step-by-step explanation:

To find the semicircle's diameter:

Using the formula of the perimeter of a semicircle,

`\begin{gathered} P=(\pi+2)r \\ 24.672=(3.14+2)r \\ 24.672=(5.14)r \\ r=(24.672)/(5.14) \\ r=4.8\text{ inches} \end{gathered}`

Then, the diameter is,

`\begin{gathered} d=2r \\ d=2(4.8) \\ d=9.6\text{ inches} \end{gathered}`

Thus, the diameter of the semicircle is d = 9.6 inches.