Chapter 11.2, Problem 35E

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6th Edition

Daniel C. Alexander + 1 other

ISBN: 9781285195698

Textbook Problem

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*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

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

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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