Given:
The perimeter of a semicircle is 24.672 inches.
Explanation:
To find the semicircle's diameter:
Using the formula of the perimeter of a semicircle,
[tex]\begin{gathered} P=(\pi+2)r \\ 24.672=(3.14+2)r \\ 24.672=(5.14)r \\ r=\frac{24.672}{5.14} \\ r=4.8\text{ inches} \end{gathered}[/tex]Then, the diameter is,
[tex]\begin{gathered} d=2r \\ d=2(4.8) \\ d=9.6\text{ inches} \end{gathered}[/tex]Thus, the diameter of the semicircle is d = 9.6 inches.
