
Concept explainers
The number of square feet of paving blocks will Logan need to build the walk, if she has a garden in the shape of a sector of a circle, and the outer rim of the garden is

Answer to Problem 28CT
Solution:
The area of walk is
Given information:
Logan has a garden in the shape of a sector of a circle; the outer rim of the garden is
Explanation of Solution
Logan has a garden in the shape of a sector of a circle.
Now, Logan is planning to make a path around the outside of this sector of
Notice that there is a sector
To find the area of walk want to find the area between the sector
Let
And the radius of sector
Therefore, the area of walk is
The outer rim of the garden is
Using the formula for length of the arc of the sector with central angle
The outer rim of the garden is
That is, the length of the arc of sector is
Therefore, the area of walk is
Thus, the area of the walk is
Chapter 6 Solutions
Precalculus Enhanced with Graphing Utilities
Additional Math Textbook Solutions
Calculus for Business, Economics, Life Sciences, and Social Sciences (14th Edition)
Elementary Statistics
Algebra and Trigonometry (6th Edition)
A First Course in Probability (10th Edition)
Pre-Algebra Student Edition
- 4 In the integral dxf1dy (7)², make the change of variables x = ½(r− s), y = ½(r + s), and evaluate the integral. Hint: Find the limits on r and s by sketching the area of integration in the (x, y) plane along with the r and s axes, and then show that the same area can be covered by s from 0 to r and r from 0 to 1.arrow_forward7. What are all values of 0, for 0≤0<2л, where 2 sin² 0=-sin? - 5π 6 π (A) 0, л, and 6 7π (B) 0,л, 11π , and 6 6 π 3π π (C) 5π 2 2 3 , and π 3π 2π (D) 2' 2'3 , and 3 4元 3 1 די } I -2m 3 1 -3 บ 1 # 1 I 3# 3m 8. The graph of g is shown above. Which of the following is an expression for g(x)? (A) 1+ tan(x) (B) 1-tan (x) (C) 1-tan (2x) (D) 1-tan + X - 9. The function j is given by j(x)=2(sin x)(cos x)-cos x. Solve j(x) = 0 for values of x in the interval Quiz A: Topic 3.10 Trigonometric Equations and Inequalities Created by Bryan Passwaterarrow_forwardcan you solve this question using the right triangle method and explain the steps used along the wayarrow_forward
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning





