https://file.aiquickdraw.com/mathbot/file/1727360587812fpukjk38.jpg

Let's solve the problem.

We are asked to find the **area** and **circumference** of a circle with a diameter of 2 cm, using the approximation \( \pi = 3.14 \).

### 1. **Find the radius**:
The **radius** \( r \) of the circle is half the diameter, so:
\[
r = \frac{2}{2} = 1 \, \text{cm}
\]

### 2. **Calculate the area**:
The formula for the **area** \( A \) of a circle is:
\[
A = \pi r^2
\]
Substitute \( r = 1 \, \text{cm} \) and \( \pi = 3.14 \):
\[
A = 3.14 \times (1)^2 = 3.14 \, \text{cm}^2
\]

### 3. **Calculate the circumference**:
The formula for the **circumference** \( C \) of a circle is:
\[
C = 2\pi r
\]
Substitute \( r = 1 \, \text{cm} \) and \( \pi = 3.14 \):
\[
C = 2 \times 3.14 \times 1 = 6.28 \, \text{cm}
\]

### Final answers:
- **Area** = \( 3.14 \, \text{cm}^2 \)
- **Circumference** = \( 6.28 \, \text{cm} \)

Would you like more details or further clarification?

### Related Questions:
1. What is the area of a circle with a diameter of 4 cm?
2. How does increasing the radius affect the area and circumference?
3. How would the area and circumference change if \( \pi \) was approximated as \( 3.14159 \)?
4. What are the formulas for the surface area and volume of a sphere with radius \( r \)?
5. How can we calculate the diameter if we are given the area of a circle?

### Tip:
Always double-check the units in your final answers to ensure they match the quantities you're working with.

Find the area and the circumference of a circle with a diameter of 2 cm. Use the value 3.14 for π, and do not round your answers. Be sure to include the correct units in your answers.

Learn how to calculate the area and circumference of a circle with a diameter of 2 cm using π = 3.14. This geometry problem includes step-by-step calculations of both the area (3.14 cm²) and circumference (6.28 cm). Suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation