To determine the area of Fiona's circle, we need to follow these steps:
1. Calculate 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]\[
r = \frac{\text{diameter}}{2} = \frac{14}{2} = 7 \text{ meters}
\][/tex]
2. Calculate the area of the circle:
- The formula for the area ([tex]\( A \)[/tex]) of a circle is given by:
[tex]\[
A = \pi r^2
\][/tex]
- Substituting the radius we found:
[tex]\[
r^2 = 7^2 = 49
\][/tex]
- Therefore:
[tex]\[
A = \pi \times 49 = 49 \pi \text{ square meters}
\][/tex]
Using these steps, we find that the area of Fiona's circle is [tex]\( 49 \pi \)[/tex] square meters.
So, the correct option is:
[tex]\[
\boxed{49 \pi m^2}
\][/tex]
