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 squared

61,544 ft.2
61,544 ft squared

15,386 ft.2
15,386 ft squared

439.6 ft.2

1 answer

To find the area of the 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 is 140 ft, the radius is:

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

Now, plug the radius into the area formula, using \( \pi \approx 3.14 \):

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

Calculating \( (70)^2 \):

\[ 70^2 = 4900 \]

Now, multiply:

\[ \text{Area} = 3.14 \times 4900 = 15,386 \]

Thus, the area of the circle is:

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

The correct response is:

15,386 ft².