Question

Find the area of this circle. Use 3.14 for pi.
7 ft
Question content area bottom
Part 1
The area of the circle is about
  
enter your response here ftsquared.
​(Round to the nearest hundredth as​ needed.)

Answer 1

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

\[
A = \pi r^2
\]

where:
- \( A \) is the area,
- \( \pi \) is approximately 3.14,
- \( r \) is the radius of the circle.

In your case, the diameter of the circle is given as 7 ft. First, we need to find the radius, which is half of the diameter:

\[
r = \frac{7 \text{ ft}}{2} = 3.5 \text{ ft}
\]

Now, substitute the radius into the area formula:

\[
A = 3.14 \times (3.5)^2
\]

Calculating \( (3.5)^2 \):

\[
(3.5)^2 = 12.25
\]

Now, substitute that back into the area formula:

\[
A = 3.14 \times 12.25
\]

Calculating the area:

\[
A = 38.425
\]

Rounding to the nearest hundredth:

\[
A \approx 38.43 \text{ ft}^2
\]

So, the area of the circle is approximately:

**38.43 ft²**.