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Circles and Polygons
Inscription and Circumscription
Certain geometric figures are created by combining circles with other
geometric figures, such as polygons. There are two
simple ways to unite a circle with a polygon. One is inscription, and the
other is circumscription.
When a polygon is inscribed in a circle, it means that each of the
vertices of that polygon
intersects the circle. When a polygon is circumscribed about a circle, it means
that each of the sides of the polygon is
tangent
to the circle. Below these situations are pictured.
Figure 4.1: A circle being inscribed and circumscribed by a polygon
Concentric Circles
One more brief topic to introduce is concentric circles. Concentric circles
are circles that have the same center. Just because a circle is inside
another circle doesn't mean they are concentric; they must have the same
point as their center. Any
number of
circles can be concentric to one another, provided that they all share a center.
Below a few are pictured.
![]()
Figure 4.2: Concentric circles
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