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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?

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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:

Dec 12, 2013
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