   Chapter 11.2, Problem 35E 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

In Exercise 29 to 37, angle measures should be given to the nearest degree; distances should be given to the nearest tenth of a unit.Find the length of the radius in a regular decagon for which each apothem has length of 12.5 cm.

To determine

To find:

The length of the radius in a regular decagon.

Explanation

Consider the following figure,

The regular decagon have 10 sides.

The central angle of the regular decagon measures 36010 or36

An apothem bisects its angle so, the angle formed by the apothem 18

General formula for cosine ratio and sin ratio is given below,

From the given figure the value radius is the hypotenuse value since it is opposite to right angle

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