The diameter of a circle is 28 kilometres. What is the circle's area?Use ​𝜋 ≈ 3.14 and round your answer to the nearest hundredth.

1. Break Down the Problem

To find the area of a circle, we need to:

• Determine the radius from the given diameter.
• Use the formula for the area of a circle which is $A = \pi r^2$.

2. Relevant Concepts

• The radius $r$ can be calculated from the diameter $d$ using the formula: $r = \frac{d}{2}$
• The area $A$ of a circle is given by the formula: $A = \pi r^2$

3. Analysis and Detail

1. Calculate the radius: $r = \frac{28 \text{ km}}{2} = 14 \text{ km}$
2. Now, calculate the area using the radius: $A = \pi r^2 = 3.14 \times (14 \text{ km})^2$ First, calculate $14^2$: $14^2 = 196$ Then calculate the area: $A = 3.14 \times 196 = 615.44 \text{ km}^2$

4. Verify and Summarize

After calculating step by step, we see the final area of the circle is accurate and correctly calculated.

Final Answer

The area of the circle is approximately $615.44 \, \text{km}^2$.