To find the area of Fiona's circle, we need to determine the radius first and then use the formula for the area of a circle. Here are the steps to solve this problem:
1. Determine the diameter of the circle.
The diameter given is 14 meters.
2. Calculate the radius of the circle.
The radius [tex]\( r \)[/tex] is half of the diameter. Therefore:
[tex]\[
r = \frac{d}{2} = \frac{14 \, \text{meters}}{2} = 7 \, \text{meters}
\][/tex]
3. Use the formula for the area of a circle.
The area [tex]\( A \)[/tex] of a circle is given by:
[tex]\[
A = \pi r^2
\][/tex]
4. Substitute the radius into the formula.
[tex]\[
A = \pi \times (7 \, \text{meters})^2
\][/tex]
[tex]\[
A = \pi \times 49 \, \text{square meters}
\][/tex]
5. Simplify the expression.
[tex]\[
A = 49 \pi \, \text{square meters}
\][/tex]
Hence, the area of Fiona's circle is [tex]\( 49 \pi \, \text{square meters} \)[/tex].
The correct option is:
[tex]\[ \boxed{49 \pi \, \text{square meters}} \][/tex]
