To determine the area of Fiona's circle, we need to use the formula for the area of a circle, which is given by:
[tex]\[ \text{Area} = \pi \times \text{radius}^2 \][/tex]
First, we need to identify the radius of the circle. The radius is half of the circle’s diameter. Given that the diameter of Fiona's circle is 14 meters, we can find the radius:
[tex]\[ \text{radius} = \frac{\text{diameter}}{2} = \frac{14}{2} = 7 \text{ meters} \][/tex]
Next, we substitute the radius into the area formula:
[tex]\[ \text{Area} = \pi \times (7)^2 \][/tex]
[tex]\[ \text{Area} = \pi \times 49 \][/tex]
Therefore, the area of Fiona's circle is:
[tex]\[ \text{Area} = 49 \pi \text{ square meters} \][/tex]
The correct answer is:
[tex]\[ 49 \pi \, m^2 \][/tex]
