To find the area of Fiona's circle, we need to follow these steps:
1. Determine 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, we calculate the radius as follows:
[tex]\[
r = \frac{\text{diameter}}{2} = \frac{14}{2} = 7 \text{ meters}
\][/tex]
2. Use the formula for the area of a circle:
- The formula for the area [tex]\( A \)[/tex] of a circle is given by:
[tex]\[
A = \pi r^2
\][/tex]
3. Calculate the area:
- Now, we substitute the radius [tex]\( r = 7 \)[/tex] meters into the area formula:
[tex]\[
A = \pi (7)^2 = \pi \times 49
\][/tex]
Thus,
[tex]\[
A = 49 \pi \text{ square meters}
\][/tex]
So, the area of Fiona's circle is [tex]\( 49 \pi \)[/tex] square meters.
Given the available choices, the correct answer is:
[tex]\[ 49 \pi \text{ m}^2 \][/tex]
