What is the area of the below circle?

Use 3.14 for π. Round to the nearest hundredth.
*7 feet
1 point

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 diameter of the circle is given as 7 feet, so the radius \( r \) is half of that:

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

Now, using \( \pi \approx 3.14 \), we can calculate the area:

\[ \text{Area} = 3.14 \times (3.5)^2 \]

First, calculate \( (3.5)^2 \):

\[ (3.5)^2 = 12.25 \]

Now, substitute back into the area formula:

\[ \text{Area} = 3.14 \times 12.25 \]

Now calculate this:

\[ 3.14 \times 12.25 = 38.425 \]

Finally, round the area to the nearest hundredth:

\[ \text{Area} \approx 38.43 \text{ square feet} \]

So, the area of the circle is approximately 38.43 square feet.