To solve this problem, let's break down the required calculations for the circumference and area of a circle, given:

• Radius $r = 11.4$ cm
• Approximate $\pi \approx 3.14$
• Round answers to one decimal place.

Step 1: Calculate the Circumference

The formula for the circumference $C$ of a circle is: $C = 2 \pi r$

Plugging in the values: $C \approx 2 \times 3.14 \times 11.4 = 71.496 \approx 71.5 \text{ cm}$

Step 2: Calculate the Area

The formula for the area $A$ of a circle is: $A = \pi r^2$

Substitute the values: $A \approx 3.14 \times (11.4)^2 = 3.14 \times 129.96 = 407.0684 \approx 407.1 \text{ cm}^2$

Final Answer

• Circumference $C \approx 71.5$ cm
• Area $A \approx 407.1$ cm²

Would you like further details on any of these steps or have any other questions?

Related Questions

1. How would the answers change if we used a more precise value for $\pi$?
2. What is the diameter of the circle, and how does it relate to the circumference?
3. How would you find the radius if only the circumference was given?
4. Can we use the same formulas for finding the area and circumference of an ellipse?
5. What are the units of circumference and area, and why are they different?

Tip

Remember that the circumference is a linear measure, while the area is a square measure. This distinction explains why the units are cm and cm², respectively.