Question
What is the area of a circle with a diameter of 8 inches? Round to the nearest whole number. (1 point) Responses 13 in² 13 in² 158 in² 158 in² 25 in² 25 in² 50 in²
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. Given that the diameter of the circle is 8 inches, the radius \( r \) will be half of the diameter:
\[
r = \frac{8}{2} = 4 \text{ inches}
\]
Now, substituting the radius into the area formula:
\[
\text{Area} = \pi (4^2) = \pi (16) = 16\pi
\]
Using \( \pi \approx 3.14 \):
\[
\text{Area} \approx 16 \times 3.14 = 50.24 \text{ in}^2
\]
Rounding to the nearest whole number, the area is approximately:
\[
\text{Area} \approx 50 \text{ in}^2
\]
Thus, the correct response is **50 in²**.
\[
\text{Area} = \pi r^2
\]
where \( r \) is the radius of the circle. Given that the diameter of the circle is 8 inches, the radius \( r \) will be half of the diameter:
\[
r = \frac{8}{2} = 4 \text{ inches}
\]
Now, substituting the radius into the area formula:
\[
\text{Area} = \pi (4^2) = \pi (16) = 16\pi
\]
Using \( \pi \approx 3.14 \):
\[
\text{Area} \approx 16 \times 3.14 = 50.24 \text{ in}^2
\]
Rounding to the nearest whole number, the area is approximately:
\[
\text{Area} \approx 50 \text{ in}^2
\]
Thus, the correct response is **50 in²**.