Answer:
[tex]A \approx 19.625 \text{ ft}^2[/tex]
Step-by-step explanation:
The area of a circle is given by the equation:
[tex]A = \pi r^2[/tex]
where:
- [tex]r = \dfrac{1}{2}d[/tex]
- [tex]\pi \approx 3.14[/tex]
We can first solve for the circle's radius using the relation:
[tex]r=\dfrac{1}{2}d[/tex]
↓ plugging in the given diameter
[tex]r = \dfrac{5}{2} \text{ ft}[/tex]
Next, we can plug the radius into the circle area equation:
[tex]A = \pi (5/2)^2[/tex]
[tex]A\approx 3.14 \times (5/2)^2[/tex]
↓ evaluating using a calculator
[tex]\boxed{A \approx 19.625 \text{ ft}^2}[/tex]
