The diameter of a circle is 140 ft. What is the area of the circle? Use 3.14 for π. (1 point) 15,386 ft.2 61, 544 ft.2 879.2 ft.2 439.6 ft.2

1 answer

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 is 140 ft, the radius \( r \) will be:

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

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

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

First, calculate \( (70 , \text{ft})^2 \):

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

Now, multiply this by \( \pi \):

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

Calculating this gives:

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

Therefore, the area of the circle is 15,386 ft².