To find the area of Fiona's circle, we need to follow these steps:
1. Find the radius of the circle:
The diameter of the circle is given as 14 meters. The radius [tex]\( r \)[/tex] is half of the diameter.
[tex]\[
r = \frac{\text{diameter}}{2} = \frac{14 \text{ meters}}{2} = 7 \text{ meters}
\][/tex]
2. Calculate the area of the circle:
The area [tex]\( A \)[/tex] of a circle is given by the formula:
[tex]\[
A = \pi r^2
\][/tex]
Substitute the radius [tex]\( r = 7 \)[/tex] meters into the formula:
[tex]\[
A = \pi (7 \text{ meters})^2 = \pi \times 49 \text{ square meters} = 49\pi \text{ square meters}
\][/tex]
Therefore, the area of Fiona's circle is:
[tex]\[
A = 49\pi \text{ square meters}
\][/tex]
The correct answer from the given options is:
[tex]\[
\boxed{49\pi \text{ m}^2}
\][/tex]
