To find the area of a circle, we use the formula:

$\text{Area} = \pi r^2$

Where:

• $r$ is the radius of the circle.

The diameter of the circle is 10 ft, so the radius $r$ is half of the diameter:

$r = \frac{10}{2} = 5 \, \text{ft}$

Now, substitute the radius into the area formula:

$\text{Area} = \pi (5)^2 = \pi \times 25 \approx 3.1416 \times 25 = 78.54 \, \text{sq ft}$

To the nearest whole number, the area is:

$\boxed{79} \, \text{sq ft}$

Would you like more details or have any questions?

Here are 5 related questions to further explore:

1. What is the circumference of the same circle?
2. How would the area change if the diameter were doubled?
3. What is the radius of a circle if its area is 314 square feet?
4. How does the formula for the area of a circle change for a semicircle?
5. Can you express the area in terms of the diameter instead of the radius?

Tip: Always remember that the radius is half of the diameter when working with circles.