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.