   Chapter 6.1, Problem 22E Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

Solutions

Chapter
Section Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085
Textbook Problem

Following the pattern of Exercises 20 and 21 , what type of figure results from dividing the circle equally by five points and joining those points in order? What type of polygon is formed by joining consecutively the n points that separate the circle into n congruent arcs?

To determine

To calculate:

The type of figure that results from dividing the circle equally by five points and joining those points in order and the type of polygon is formed by joining consecutively the n points that separate the circle into n congruent arcs.

Explanation

Given:

A circle is divided equally by five points.

Postulate used:

Congruent arcs:

In a circle or concentric circles, congruent arcs are arcs with equal measures.

Calculation:

Consider a circle with center O that is divided equally by five points A, B, C, D, E.

By joining those points, we will get the following figure

Since the arcs are congruent, they are of equal measure...

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