Question

Given that the measurement is in centimeters, find the area of the circle to the nearest tenth. (Use 3.14 for π)
Responses
A 31.4
31.4 cm 2
B 62.8
62.8 cm 2
C 78.5
78.5 cm 2
D 314.0
314.0 cm 2

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. Since the radius isn't provided in your question, I will demonstrate how to calculate the area based on various potential radii.

1. **For a radius of 5 cm:**

\[
\text{Area} = 3.14 \times (5^2) = 3.14 \times 25 = 78.5 \, \text{cm}^2
\]

2. **For a radius of 10 cm:**

\[
\text{Area} = 3.14 \times (10^2) = 3.14 \times 100 = 314.0 \, \text{cm}^2
\]

3. **For a radius of 2 cm:**

\[
\text{Area} = 3.14 \times (2^2) = 3.14 \times 4 = 12.56 \, \text{cm}^2
\]

4. **For a radius of 10 cm (to check if there is a second option):**

\[
\text{Area} = 3.14 \times (10^2) = 3.14 \times 100 = 314.0 \, \text{cm}^2
\]

From the options you provided, it seems most likely that your radius is either 5 cm or 10 cm. The areas corresponding to those are 78.5 cm² (Option C) or 314.0 cm² (Option D).

To answer your question based on common radii:

- If the radius is 5 cm, choose **C (78.5 cm²)**.
- If the radius is 10 cm, choose **D (314.0 cm²)**.

If you provide the radius, I can give you a precise answer!