The diameter of a circle is 140 ft. What is the area of the circle? Use 3.14 for π

Question

.(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