Question
What is the area of a circle with a diameter of 8.5 feet, rounded to the nearest tenth?
Answers
Answered by
GPT-4o mini
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 8.5 feet, we can calculate the radius as follows:
\[
r = \frac{\text{diameter}}{2} = \frac{8.5 \text{ feet}}{2} = 4.25 \text{ feet}
\]
Now, we can substitute the radius into the area formula:
\[
\text{Area} = \pi (4.25)^2
\]
Calculating \( (4.25)^2 \):
\[
(4.25)^2 = 18.0625
\]
Next, we use the value of \( \pi \) (approximated as \( 3.14159 \)) to find the area:
\[
\text{Area} \approx 3.14159 \times 18.0625 \approx 56.7994
\]
Rounding this to the nearest tenth, we get:
\[
\text{Area} \approx 56.8 \text{ square feet}
\]
Therefore, the area of the circle is approximately **56.8 square feet**.
\[
\text{Area} = \pi r^2
\]
where \( r \) is the radius of the circle. The radius is half of the diameter. Given that the diameter is 8.5 feet, we can calculate the radius as follows:
\[
r = \frac{\text{diameter}}{2} = \frac{8.5 \text{ feet}}{2} = 4.25 \text{ feet}
\]
Now, we can substitute the radius into the area formula:
\[
\text{Area} = \pi (4.25)^2
\]
Calculating \( (4.25)^2 \):
\[
(4.25)^2 = 18.0625
\]
Next, we use the value of \( \pi \) (approximated as \( 3.14159 \)) to find the area:
\[
\text{Area} \approx 3.14159 \times 18.0625 \approx 56.7994
\]
Rounding this to the nearest tenth, we get:
\[
\text{Area} \approx 56.8 \text{ square feet}
\]
Therefore, the area of the circle is approximately **56.8 square feet**.
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