EXPLANATION
The area of a semicircle is given by the following relationship:
[tex]\text{Area}_{\text{semicircle}}=\frac{1}{2}\cdot\pi\cdot r^2[/tex]
The radius of the semicircle is diameter/2=14/2 = 7 feet
Replacing terms:
[tex]\text{Area}=\frac{1}{2}\cdot\pi\cdot(7)^2[/tex]
Computing the power:
[tex]\text{Area}=\frac{1}{2}\pi\cdot49[/tex]
Simplifying numbers:
[tex]\text{Area}=24.5\cdot\pi=24.5\cdot3.14=76.93ft^2\approx77ft^2[/tex]
In conclusion, the answer is the option D.
