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Answer:[tex]454.019\ ft^2[/tex]
Step-by-step explanation:
Given
Diameter of semi-circle is [tex]d=34\ ft[/tex]
So, its radius is [tex]r=\dfrac{34}{2}=17\ ft[/tex]
Area of semi-circle is [tex]\dfrac{\pi r^2}{2}[/tex]
[tex]\therefore \text{Area of semi-circle is }=\dfrac{\pi r^2}{2}\\\\\Rightarrow A=\dfrac{\pi \cdot 17^2}{2}\\\\\Rightarrow A=454.019\ ft^2[/tex]
Thus, the area of semi-circle is [tex]454.019\ ft^2[/tex]