9.8: Inscribed and Circumscribed Polygons
Difficulty Level: At Grade
Created by: CK-12
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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:
- \begin{align*}A(n)\end{align*} _____________________________ polygon looks like it is inside a circle.
- \begin{align*}A(n)\end{align*} _____________________________ 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?
\begin{align*}{\;}\end{align*}
\begin{align*}{\;}\end{align*}
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\begin{align*}{\;}\end{align*}
2. Which type of polygon, inscribed or circumscribed, has sides that are tangents of the circle?
\begin{align*}{\;}\end{align*}
\begin{align*}{\;}\end{align*}
\begin{align*}{\;}\end{align*}
\begin{align*}{\;}\end{align*}
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Date Created:
Feb 23, 2012
Last Modified:
May 12, 2014
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