What is the area of a circle with a diameter of 8 inches?(1 point)

Responses

13 in.2
13 in. squared

158 in.2
158 in. squared

50 in.2
50 in. squared

25 in.2

1 answer

To find the area of a circle, you can use the formula:

\[ A = \pi r^2 \]

where \( r \) is the radius of the circle. The radius is half of the diameter.

Given that the diameter is 8 inches, the radius \( r \) is:

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

Now plug the radius into the formula for the area:

\[ A = \pi (4)^2 = \pi \times 16 \]

Using the approximate value of \( \pi \approx 3.14 \):

\[ A \approx 3.14 \times 16 \approx 50.24 \text{ square inches} \]

Thus, the area of the circle is approximately \( 50 \text{ in}^2 \).

So, the correct response is:

50 in. squared