   Chapter 8.CR, Problem 32CR 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 arc of a sector measures 40 ∘ . Find the exact length of the arc and the exact area of the sector if the radius measures 3 5  cm .

To determine

To find:

The exact length of the arc and the exact area of the sector.

Explanation

Formula:

Area of sector = Area of circle × (arc lengthcircumference)

Calculation:

The length of the arc = l

Radius of the circle r=35

If x is the angle at the center obtained by the arc then the length of the arc is

l=x360×2πr=40360×2π(35)=19×2π(35)

=6π59=2π53

So, the length of the arc = 2π53 cm

To find the exact area of the sector:

Total circumference =2πr=2π(35)=6π5

Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

For the following scores, find the value of each expression: X 3 2 4 2 a. X b. (X)2 c. X 2 d. (X 2)

Essentials of Statistics for The Behavioral Sciences (MindTap Course List)

g(x)=2(x1)5/2

Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach

Differentiate. f() = cos sin

Single Variable Calculus: Early Transcendentals

Simplified, log3 9x3 is: 2 + 3 log3 x 6 log3 x 9 log3 x 9 + log3 x

Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th

True or False: converges absolutely.

Study Guide for Stewart's Multivariable Calculus, 8th

Describe the major elements of the introduction for an empirical research report.

Research Methods for the Behavioral Sciences (MindTap Course List) 