Chapter 7.3, Problem 19E

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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) | 90°. | c) | 60°. |

b) | 45°. | d) | 24°. |

To determine

**a) To find:**

The number of sides of a regular polygon that has a central angle measuring 90°.

Explanation

**Approach:**

The measure of any central angle of a regular polygon of *n* sides is given by

**Calculation:**

It is given that the central angle of the regular polygon is 90°.

Use the formula of central angle,

Substitute *c* = 90° in

To determine

**b) To find:**

The number of sides of a regular polygon that has a central angle measuring 45°.

To determine

**c) To find:**

The number of sides of a regular polygon that has a central angle measuring 60°.

To determine

**d) To find:**

The number of sides of a regular polygon that has a central angle measuring 24°.

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