Question

Find the area of a circle with a diameter of 8 cm.

Use the formula: A = πr2


Use 3.14 for π
and leave your answer to the nearest hundredth.

image.png



Type in your final answer in the box below (number only).

(1 point)
A=

cm2

Answer 1

To find the area of a circle, you first need to determine the radius. The diameter of the circle is 8 cm, so the radius \( r \) is half of that:

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

Now, use the area formula \( A = \pi r^2 \). Plugging in the values:

\[
A = 3.14 \times (4 \text{ cm})^2
\]

Calculating \( (4 \text{ cm})^2 \):

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

Now substitute this back into the area formula:

\[
A = 3.14 \times 16 \text{ cm}^2
\]

Now, perform the multiplication:

\[
A = 50.24 \text{ cm}^2
\]

Finally, rounding to the nearest hundredth, the area of the circle is:

\[
50.24
\]

So the final answer is:

\[
50.24
\]