Sure, let's go through the steps to find the area of a circle given its diameter, and we'll round the final result to the nearest whole number.
1. Find the radius:
- The radius of a circle is half its diameter.
- Given the diameter is 11 meters, the radius is:
[tex]\[
\text{radius} = \frac{11}{2} = 5.5 \text{ meters}
\][/tex]
2. Calculate the area:
- The formula for the area of a circle is given by [tex]\( A = \pi r^2 \)[/tex], where [tex]\( r \)[/tex] is the radius.
- Substituting the radius we found:
[tex]\[
A = \pi \times (5.5)^2 \approx 3.14159 \times 30.25 \approx 95.03317777109125 \text{ square meters}
\][/tex]
3. Round the area to the nearest whole number:
- The calculated area is approximately 95.03317777109125 square meters.
- Rounded to the nearest whole number, the area is:
[tex]\[
\text{Area} \approx 95 \text{ square meters}
\][/tex]
Therefore, the area of the circle, to the nearest whole number, is:
[tex]\[
A \approx 95 \text{ m}^2
\][/tex]
Please review the steps and feel free to ask if you have any further questions!
