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**list the answers clearly and simply**
circle area = 575300 km^2
radius of circle = approximately 427.15 km
b = area of one triangle that makes up the star
a = area outside of the star but inside the circle

Let's break down the problem based on the given information:

### 1. Information Provided:
- Circle Area: \( 575,300 \, \text{km}^2 \)
- Radius of Circle: \( 427.15 \, \text{km} \)
- \( B \): Area of one triangle that makes up the star
- \( A \): Area outside of the star but inside the circle

### 2. Total Circle Area:
We already know the total circle area:  
\[
\text{Circle Area} = 575,300 \, \text{km}^2
\]

### 3. Total Area of the Star:
The star is made up of 10 triangles (2 triangles for each of the 5 points of the star). If we calculate the area of one triangle, we can then determine the total area of the star.

Let:
- \( B \) = area of one triangle that makes up the star.
- Total Star Area = \( 10 \times B \).

### 4. Area Outside the Star but Inside the Circle (\( A \)):
The area \( A \) is the difference between the total area of the circle and the area occupied by the star. Therefore:
\[
A = \text{Circle Area} - \text{Total Star Area}
\]
\[
A = 575,300 \, \text{km}^2 - 10B
\]

Now, we need the area of each triangle (\( B \)) to proceed. Do you have any additional data to calculate the area of the triangle, such as the height or base of the triangle, or should I estimate based on assumptions?

Circle area = 575300 km^2, radius of circle = 427.15 km, B = area of one triangle that makes up the star, A = area outside of the star but inside the circle.

This problem involves calculating the area of a star and the area outside the star but inside a circle with a radius of 427.15 km and a total area of 575,300 km². Learn how to apply the formulas for the area of a circle and triangles.

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