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A circle divide the plane into three par...

A circle divide the plane into three parts .

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To determine whether a circle divides the plane into three parts, we can analyze the situation step by step. ### Step-by-Step Solution: 1. **Understanding the Circle**: A circle is defined as the set of all points in a plane that are at a fixed distance (the radius) from a central point (the center). 2. **Visualizing the Plane**: Imagine a flat surface, which we refer to as the plane. When we draw a circle on this plane, we need to consider how the circle interacts with the plane. 3. **Identifying the Regions**: When a circle is drawn on the plane, it creates three distinct regions: - **Interior of the Circle**: This is the area inside the circle. - **The Circle Itself**: The line that forms the boundary of the circle. - **Exterior of the Circle**: This is the area outside the circle. 4. **Counting the Parts**: Now, we can count the parts: - The interior part (inside the circle). - The boundary part (the circle itself). - The exterior part (outside the circle). Thus, we have three distinct parts created by the circle. 5. **Conclusion**: Since we have identified three parts, we can conclude that the statement "A circle divides the plane into three parts" is true. ### Final Answer: The statement is **True**. A circle divides the plane into three parts: the interior, the boundary, and the exterior.
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