   Chapter 8.5, Problem 5E 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 the circle, the radius length is 10 in. and the length of A B ^ is 14 in. What is the perimeter of the shaded sector? To determine

To find:

The perimeter of shaded sector.

Explanation

Definition:

Perimeter is the distance around a two dimensional shape.

The distance around the sector is the sum lengths of two radii and the arc intercepted by them.

Formula:

If r is the radius of circle,

Psector=r+r+lintercepted arc=2r+lintercepted arc

Thus, Psector=2r+lintercepted arc

Calculation:

It is given that radius of circle measures 10 in. Thus, r=10.

The arc intercepted by radii OA and OB is AB^

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