Question

The diameter of a circle is 140 ft. What is the area of the circle? Use 3.14 for π
.(1 point)
Responses

879.2 ft.2
879.2 ft.2
- no response given

15,386 ft.2
15,386 ft.2
- no response given

439.6 ft.2
439.6 ft.2
- no response given

61,544 ft.2

Answer 1

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

\[
\text{Area} = \pi r^2
\]

First, we need to calculate the radius \( r \) of the circle. The radius is half of the diameter:

\[
r = \frac{\text{Diameter}}{2} = \frac{140 \text{ ft}}{2} = 70 \text{ ft}
\]

Now we can substitute the radius into the area formula using \( \pi \approx 3.14 \):

\[
\text{Area} = 3.14 \times (70 \text{ ft})^2
\]

Calculating \( (70 \text{ ft})^2 \):

\[
(70 \text{ ft})^2 = 4900 \text{ ft}^2
\]

Now substituting back into the area equation:

\[
\text{Area} = 3.14 \times 4900 \text{ ft}^2
\]

\[
\text{Area} = 15,386 \text{ ft}^2
\]

Thus, the area of the circle is **15,386 ft²**.