Question

What is the area of a circle with a diameter of 10 millimeters? Estimate the area to the tenths place using 3.14 for \(\pi\).

10.21 meters
10.22 meters
10.3 meters
33.18 meters





Given:






A = 3.14 \times 5^2

=

Answers

GPT-4o mini
To calculate the area of a circle using the given diameter:

1. First, determine the radius of the circle. The radius is half of the diameter.
\[
\text{Radius} = \frac{\text{Diameter}}{2} = \frac{10 \text{ mm}}{2} = 5 \text{ mm}
\]

2. Next, use the formula for the area of a circle:
\[
A = \pi r^2
\]
Substituting the values, we use \(\pi \approx 3.14\) and \(r = 5 \text{ mm}\):
\[
A = 3.14 \times (5 \text{ mm})^2
\]

3. Calculate \((5 \text{ mm})^2\):
\[
(5 \text{ mm})^2 = 25 \text{ mm}^2
\]

4. Now substitute back into the area formula:
\[
A = 3.14 \times 25 \text{ mm}^2
\]

5. Perform the multiplication:
\[
A = 3.14 \times 25 = 78.5 \text{ mm}^2
\]

Thus, the area of the circle is approximately \(78.5 \text{ mm}^2\).

Regarding the answer choices you provided, they are in meters, which doesn't apply here since our area is in millimeters squared. The option is not listed, but the area of the circle calculated is:

\[
\boxed{78.5 \text{ mm}^2}
\]