Question

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

15,386 ft.2
15,386 ft squared

439.6 ft.2
439.6 ft squared

61,544 ft.2
61,544 ft squared

879.2 ft.2

Answer 1

To find the area of a circle, you can use the formula:

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

where \( r \) is the radius of the circle. The radius is half of the diameter.

Given that the diameter of the circle is 140 ft, the radius \( r \) is:

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

Now, substituting the radius into the area formula using \( \pi = 3.14 \):

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

Calculating \( (70)^2 \):

\[
(70)^2 = 4900
\]

Now, calculate the area:

\[
\text{Area} = 3.14 \times 4900
\]

Calculating \( 3.14 \times 4900 \):

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

Thus, the area of the circle is:

**15,386 ft²**