To determine the area of Fiona's circle, we need to follow these steps:
1. Find the radius: The radius [tex]\( r \)[/tex] of a circle is half of its diameter. Since the diameter of Fiona's circle is 14 meters,
[tex]\[
r = \frac{d}{2} = \frac{14}{2} = 7 \text{ meters}
\][/tex]
2. Use 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]
where [tex]\( r \)[/tex] is the radius of the circle.
3. Substitute the radius into the formula: Now, substitute the radius we found into the formula for the area:
[tex]\[
A = \pi (7)^2 = \pi \times 49 = 49 \pi
\][/tex]
Therefore, the area of Fiona's circle is [tex]\( 49 \pi \)[/tex] square meters. The correct option from the list given is:
[tex]\[
49 \pi m^2
\][/tex]
