   Chapter 6.1, Problem 26E ### Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698

#### Solutions

Chapter
Section ### Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698
Textbook Problem
72 views

# Five points are equally spaced on a circle. A five-pointed star (pentagram) is formed by joining nonconsecutive points two at a time. What is the degree measure of an arc determined by two consecutive points?

To determine

To calculate:

The degree measure of an arc determined by two consecutive points.

Explanation

Given:

Five points are equally spaced on a circle. A five-pointed star (pentagram) is formed by joining nonconsecutive points two at a time.

Central angle postulate:

In a circle, the degree measure of a central angle is equal to the degree measure of its intercepted arc.

Congruent arcs:

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

Theorem:

In a circle or congruent circles, congruent minor arcs have congruent central angles.

Calculation:

Consider five points that are equally spaced on a circle. Construct a star by connecting those points as shown below.

Thus the arcs formed are congruent arcs.

Hence if we consider the central angles for each arc, they will be congruent because the arcs are congruent...

### Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

#### The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

#### Solve the equations in Exercises 126. 1x9x3=0

Finite Mathematics and Applied Calculus (MindTap Course List)

#### 42. Use the definition of derivative to find .

Mathematical Applications for the Management, Life, and Social Sciences

#### limxx2+13x+2= a) 0 b) 1 c) 13 d) does not exist

Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th 