Question
find the area of a circle with diameter 7.3 .Round to one decimal
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. Since the diameter is given as 7.3, the radius \( r \) is half of that:
\[
r = \frac{7.3}{2} = 3.65
\]
Now, plug the radius into the area formula:
\[
\text{Area} = \pi (3.65)^2
\]
Calculating \( (3.65)^2 \):
\[
(3.65)^2 = 13.3225
\]
Now, using the value of \( \pi \approx 3.14159 \):
\[
\text{Area} \approx 3.14159 \times 13.3225 \approx 41.872
\]
Rounding to one decimal place:
\[
\text{Area} \approx 41.9
\]
So the area of the circle is approximately **41.9 square units**.
\[
\text{Area} = \pi r^2
\]
where \( r \) is the radius of the circle. Since the diameter is given as 7.3, the radius \( r \) is half of that:
\[
r = \frac{7.3}{2} = 3.65
\]
Now, plug the radius into the area formula:
\[
\text{Area} = \pi (3.65)^2
\]
Calculating \( (3.65)^2 \):
\[
(3.65)^2 = 13.3225
\]
Now, using the value of \( \pi \approx 3.14159 \):
\[
\text{Area} \approx 3.14159 \times 13.3225 \approx 41.872
\]
Rounding to one decimal place:
\[
\text{Area} \approx 41.9
\]
So the area of the circle is approximately **41.9 square units**.