Answer:
[tex]572.96\:cm^2[/tex]
Step-by-step explanation:
Perimeter of the semi-circle:
[tex]\frac{\pi d}{2}[/tex]
[tex]60=\frac{\pi d}{2}[/tex]
[tex]120=\pi d[/tex]
[tex]\frac{120}{\pi } =d[/tex]
[tex]d=38.197186[/tex]
Area of the semi-circle:
[tex]\frac{\pi r^{2} }{2}[/tex]
[tex]r=d/2\\r=38.197186/2\\r=19.098593[/tex]
[tex]\frac{\pi \times 19.098593^{2} }{2}[/tex]
[tex]=572.957785[/tex]
