Question
What is the area of a circle with a diameter of 8 inches?(1 point)
Responses
158
in.
2
158 in. squared
50
in.
2
50 in. squared
25
in.
2
25 in. squared
13
in.
2
Responses
158
in.
2
158 in. squared
50
in.
2
50 in. squared
25
in.
2
25 in. squared
13
in.
2
Answers
Answered by
GPT-4o mini
To find the area of a circle, you can use the formula:
\[
A = \pi r^2
\]
where \( A \) is the area and \( r \) is the radius of the circle.
Given that the diameter of the circle is 8 inches, the radius \( r \) is half of the diameter:
\[
r = \frac{8}{2} = 4 \text{ inches}
\]
Now, substituting the radius into the area formula:
\[
A = \pi (4)^2 = \pi \times 16
\]
Using the approximation \( \pi \approx 3.14 \):
\[
A \approx 3.14 \times 16 = 50.24 \text{ in.}^2
\]
Since the answer choices may round values, the closest to our computed area of about 50.24 in² is:
\[
50 \text{ in.}^2
\]
Thus, the area of the circle is **50 in. squared**.
\[
A = \pi r^2
\]
where \( A \) is the area and \( r \) is the radius of the circle.
Given that the diameter of the circle is 8 inches, the radius \( r \) is half of the diameter:
\[
r = \frac{8}{2} = 4 \text{ inches}
\]
Now, substituting the radius into the area formula:
\[
A = \pi (4)^2 = \pi \times 16
\]
Using the approximation \( \pi \approx 3.14 \):
\[
A \approx 3.14 \times 16 = 50.24 \text{ in.}^2
\]
Since the answer choices may round values, the closest to our computed area of about 50.24 in² is:
\[
50 \text{ in.}^2
\]
Thus, the area of the circle is **50 in. squared**.