   Chapter 8.5, Problem 12E 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

A sector with perimeter 30 in. has a bounding arc of length 12 in. Find the length of the radius of the circle.

To determine

To find:

The length of radius of circle.

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:

Perimeter of sector (Psector) is given as 30 in

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