Question

The diameter of a circle is 8 inches. What is the area?

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 is 8 inches, the radius would be:

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

Now, substituting the radius into the area formula:

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

Thus, the area is:

\[
\text{Area} = 16\pi \text{ square inches}
\]

If you need a numerical approximation, using \( \pi \approx 3.14 \):

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

Therefore, the area of the circle is \( 16\pi \) square inches, or approximately \( 50.24 \) square inches.