Question

What is the area of a circle with a diameter of 8 inches?

(1 point)
Responses

25 sq. in
25 sq. in

50 sq. in
50 sq. in

158 sq. in
158 sq. in

13 sq. in

Answer 1

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 of the circle is 8 inches, the radius \( r \) would be:

\[
r = \frac{8}{2} = 4 \text{ inches}
\]

Now, substituting the radius into the area formula:

\[
\text{Area} = \pi (4^2) = \pi (16) = 16\pi
\]

Using an approximation of \( \pi \approx 3.14 \):

\[
\text{Area} \approx 16 \times 3.14 \approx 50.24 \text{ sq. in}
\]

Thus, the area of the circle is approximately 50 square inches.

The correct answer from your responses is:

**50 sq. in**.