To find the area of a circle, you can use the formula:
\[ A = \pi r^2 \]
where:
- \( A \) is the area,
- \( \pi \) is approximately 3.14,
- \( r \) is the radius of the circle.
In your case, the diameter of the circle is given as 7 ft. First, we need to find the radius, which is half of the diameter:
\[ r = \frac{7 \text{ ft}}{2} = 3.5 \text{ ft} \]
Now, substitute the radius into the area formula:
\[ A = 3.14 \times (3.5)^2 \]
Calculating \( (3.5)^2 \):
\[ (3.5)^2 = 12.25 \]
Now, substitute that back into the area formula:
\[ A = 3.14 \times 12.25 \]
Calculating the area:
\[ A = 38.425 \]
Rounding to the nearest hundredth:
\[ A \approx 38.43 \text{ ft}^2 \]
So, the area of the circle is approximately:
38.43 ft².