   Chapter 8.4, Problem 15E 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

The central angle corresponding to a circular brake shoe measures 60°. To two decimal places how long is the curved surface of the brake shoe if the length of the radius is 7 in.

To determine

To Find:

The length of the curved surface of the brake shoe, if the length of the radius is 7 in.

Explanation

Given:

The radius of the circle is 7 in.

Formula:

The circumference of the circle, C=2πr.

The ratio of the degree of the curved surface (m) to the degree of the entire circle (360) is the same as the ratio of the length of the curved surface to the circumference of the circle.

Therefore, m360=lC.

Calculation:

To find:

The length of the curved surface, first find the circumference of the circle.

Then, the circumference of the circle,

C=22277=44.

Therefore, the circumference of the circle is 44 in.

Next, the degree of the curved surface is 60°

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