Circumscribing A Polygon: Discovering Properties, Angles, And Centers Using Circles

Circumscribe

A shape drawn outside the lines of another shape it is inside of.

In geometry, the term circumscribe refers to the process of drawing a circle that touches all the vertices or edges of a polygon. The circle that touches all the vertices of a polygon is known as the circumcircle of that polygon.

To circumscribe a polygon, you need to draw a circle that has its center at the intersection of the perpendicular bisectors of the sides of the polygon. The radius of the circle is equal to the distance between the center and any vertex of the polygon.

Circumscribing a polygon can be useful in determining the properties of the polygon and its angles. The circumcircle can also be used to find the circumcenter, which is the center of the circle, and the circumradius, which is the radius of the circle.

In summary, circumscribing a polygon involves drawing a circle that touches all the vertices or edges of the polygon. It can be useful in determining the properties of the polygon and its angles and can also be used to find the circumcenter and circumradius.

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