To find the area of the circle, we can use the formula:

$A = \pi r^2$

Where:

• $A$ is the area,
• $r$ is the radius of the circle,
• $\pi$ is approximately 3.14159.

Since you are given the diameter of the circle as 103.6 km, the radius $r$ is half of the diameter:

$r = \frac{103.6}{2} = 51.8 \text{ km}$

Now, substitute this value into the area formula:

$A = \pi (51.8)^2$

$A = 3.14159 \times 2683.24$

$A \approx 8421.24 \text{ km}^2$

So, the area of the circle is approximately 8421.24 square kilometers.

Would you like to explore how changing the diameter affects the area? Or need further clarifications on any of the steps?

Here are a few related questions:

1. What happens to the area if the diameter is doubled?
2. How do you calculate the circumference of the circle?
3. How does the formula for the area change if the radius is given instead of the diameter?
4. How can you calculate the area of a sector of this circle?
5. What other real-world applications involve calculating the area of a circle?

Tip: When calculating areas, remember that the radius is always half of the diameter!