To determine the area of Fiona's circle, follow these steps:
1. Find the radius of the circle:
The diameter of the circle is given as 14 meters. The radius of a circle is half of its diameter.
[tex]\[
\text{Radius} = \frac{\text{Diameter}}{2}
\][/tex]
Substituting the given diameter:
[tex]\[
\text{Radius} = \frac{14}{2} = 7 \; \text{meters}
\][/tex]
2. Calculate the area of the circle:
The formula for the area [tex]\(A\)[/tex] of a circle is:
[tex]\[
A = \pi r^2
\][/tex]
where [tex]\(r\)[/tex] is the radius of the circle.
Substituting the radius we found:
[tex]\[
A = \pi \times (7)^2
\][/tex]
3. Square the radius:
[tex]\[
(7)^2 = 49
\][/tex]
4. Multiply by [tex]\(\pi\)[/tex]:
[tex]\[
A = \pi \times 49 = 49 \pi
\][/tex]
Thus, the area of Fiona's circle is:
[tex]\[
49 \pi \; \text{square meters}
\][/tex]
Therefore, the correct answer is:
[tex]\[
49 \pi m^2
\][/tex]
