   Chapter 7.3, Problem 20E 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

Find the number of sides of a regular polygon that has a central angle measuring a) 30°. c) 36°. b) 72°. d) 20°.

To determine

a) To find:

The number of sides of a regular polygon that has a central angle measuring 30°.

Explanation

Concept:

The measure of any central angle of a regular polygon of n sides is given by c=360n

Calculation:

It is given that the central angle of the regular polygon is 30°.

Use the formula of central angle, c=360n

Substitute c = 30° in c=360n

To determine

b) To find:

The number of sides of a regular polygon that has a central angle measuring 72°.

To determine

c) To find:

The number of sides of a regular polygon that has a central angle measuring 36°.

To determine

d) To find:

The number of sides of a regular polygon that has a central angle measuring 20°.

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