Precalculus Enhanced with Graphing Utilities
Precalculus Enhanced with Graphing Utilities
6th Edition
ISBN: 9780321795465
Author: Michael Sullivan, Michael III Sullivan
Publisher: PEARSON
Question
Book Icon
Chapter A.2, Problem 50AYU
To determine

To find: What is the area of the deck? How much fence is required to enclose the deck?

Expert Solution & Answer
Check Mark

Answer to Problem 50AYU

129π ; 6π

Explanation of Solution

Given:

A circular swimming pool that is 20 feet in diameter is enclosed by a wooden deck that is 3 feet wide.

Precalculus Enhanced with Graphing Utilities, Chapter A.2, Problem 50AYU

Formula Used:

Area of the circle = π r 2 and Circumference of the circle = 2πr .

Calculation:

Area of the swimming pool = π r 2  = π ×  20 2  = 400π .

Area of the swimming pool with deck = π r 2  = π ×  23 2  = 529π .

The area of the deck = 529π  400π = 129π .

Circumference of the swimming pool = 2πr = 2π × 20 = 40π .

Circumference of the swimming pool with deck = 2πr = 2π × 23 = 46π .

The fence is required to enclose the deck = 46π  40π = 6π .

Additional Math Textbook Solutions

Find more solutions based on key concepts
Knowledge Booster
Background pattern image
Recommended textbooks for you
Text book image
Calculus: Early Transcendentals
Calculus
ISBN:9781285741550
Author:James Stewart
Publisher:Cengage Learning
Text book image
Thomas' Calculus (14th Edition)
Calculus
ISBN:9780134438986
Author:Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:PEARSON
Text book image
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:9780134763644
Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:PEARSON
Text book image
Calculus: Early Transcendentals
Calculus
ISBN:9781319050740
Author:Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:W. H. Freeman
Text book image
Precalculus
Calculus
ISBN:9780135189405
Author:Michael Sullivan
Publisher:PEARSON
Text book image
Calculus: Early Transcendental Functions
Calculus
ISBN:9781337552516
Author:Ron Larson, Bruce H. Edwards
Publisher:Cengage Learning