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9.8: Inscribed and Circumscribed Polygons

Difficulty Level: At Grade Created by: CK-12

Learning Objectives

  • Recognize characteristics of inscribed polygons formed by chords and circumscribed polygons formed by tangent segments.

Inscribed and Circumscribed Polygons

  • A convex polygon whose vertices all touch a circle is said to be an inscribed polygon.
  • A convex polygon whose sides all touch a circle is said to be a circumscribed polygon.

The figures below show examples of inscribed and circumscribed polygons:

  • A(n) _____________________________ polygon looks like it is inside a circle.
  • A(n) _____________________________ polygon looks like it is outside a circle.
  • When all of the ________________________ of a convex polygon touch a circle, the polygon is inscribed.
  • When all of the ________________________ of a convex polygon touch a circle, the polygon is circumscribed.

Reading Check:

1. Which type of polygon, inscribed or circumscribed, has sides that are chords of the circle?

2. Which type of polygon, inscribed or circumscribed, has sides that are tangents of the circle?

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Authors:
Grades:
8 , 9 , 10
Date Created:
Feb 23, 2012
Last Modified:
May 12, 2014
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