Let's go through the solution step-by-step to determine the area of the circle in terms of [tex]\(\pi\)[/tex]:
1. Understand the given information:
- Diameter of the circle, [tex]\( d = 14 \)[/tex] feet.
2. Calculate the radius:
- The radius [tex]\( r \)[/tex] of a circle is half of its diameter.
[tex]\[
r = \frac{d}{2} = \frac{14 \, \text{feet}}{2} = 7 \, \text{feet}
\][/tex]
3. Recall the formula for the area of a circle:
- The area [tex]\( A \)[/tex] of a circle is given by the formula:
[tex]\[
A = \pi r^2
\][/tex]
4. Substitute the radius into the area formula:
- Substitute [tex]\( r = 7 \, \text{feet} \)[/tex] into the formula:
[tex]\[
A = \pi (7 \, \text{feet})^2 = \pi (49 \, \text{feet}^2) = 49\pi \, \text{feet}^2
\][/tex]
5. Match the calculated area with the given options:
- The correct area in terms of [tex]\(\pi\)[/tex] is:
[tex]\[
49\pi \, \text{feet}^2
\][/tex]
Therefore, the answer is:
[tex]\[
\boxed{49\pi \, \text{ft}^2}
\][/tex]
