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  • Circumscribed Polygon: Definition, Properties & Examples
    A circumscribed polygon is a polygon where all its vertices lie on a circle. In other words, the circle passes through all the corners of the polygon.

    Here's a breakdown:

    * Polygon: A closed figure made up of straight line segments.

    * Circle: A set of points that are all the same distance from a central point.

    * Circumscribed: Means "drawn around" or "enclosing".

    Here's how to visualize it:

    Imagine drawing a circle. Then, connect some points on the circle's circumference with straight lines, creating a polygon. The polygon you just formed is circumscribed by the circle.

    Example:

    A square inscribed in a circle is an example of a circumscribed polygon. Each corner of the square touches the circumference of the circle.

    Important Points:

    * Every triangle can be circumscribed by a circle.

    * Not every polygon can be circumscribed. For example, a general quadrilateral cannot always be circumscribed.

    Let me know if you'd like more information or examples!

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