Answer:
[tex]A = \frac{9}{2} \pi\ cm^{2}[/tex]
Step-by-step explanation:
Area of a full circle is [tex]r^{2} \pi[/tex].
Area of a semicircle is exactly half of it: [tex]\frac{1}{2} r^{2} \pi[/tex].
[tex]A = \frac{1}{2} 3^{2} \pi = \frac{9}{2} \pi = 14.137\ cm^{2}[/tex]