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, and
- \( r \) is the radius of the circle.
Given that the diameter of the circle is 15 ft, the radius \( r \) is half of the diameter:
\[ r = \frac{15 \text{ ft}}{2} = 7.5 \text{ ft} \]
Now, substitute the radius into the area formula:
\[ A = 3.14 \times (7.5)^2 \]
Calculating \( (7.5)^2 \):
\[ (7.5)^2 = 56.25 \]
Now substituting that back into the area formula:
\[ A = 3.14 \times 56.25 \]
Now, perform the multiplication:
\[ A = 176.625 \]
Rounding to the nearest hundredth, the area is:
\[ A \approx 176.63 \text{ ft}^2 \]
So, the area of the circle is about 176.63 ft².