a.
To graph: A circular graph of diameter 2 in. with the given data.
a.
Explanation of Solution
Given information: Diameter of the
Theme | Percent |
An Evening of Stars | 11 |
Mardi Gras | 32 |
Springtime in Paris | 8 |
Night in Times Square | 47 |
Undecided | 2 |
Calculation: For the graph
So, angle of the sector of,
An Evening of Stars
Mardi Gras
Springtime in Paris
Night in Times Square
Undecided
Graph:
b.
To calculate: Area of each theme’s sector of the graph.
b.
Answer to Problem 26PPS
The area of the sector of An Evening of Stars is 0.34 in2, Mardi Gras is 1.00 in2, Springtime in Paris is 0.25 in2, Night in Times Square is 1.47 in2 and Undecided is 0.06 in2.
Explanation of Solution
Given information: Diameter of the circle is 2 in. and the table of the results of a survey of students is as follows,
Theme | Percent |
An Evening of Stars | 11 |
Mardi Gras | 32 |
Springtime in Paris | 8 |
Night in Times Square | 47 |
Undecided | 2 |
Formula used: Area of sector
Calculation:
Here,
Area of the sector of,
An Evening of Stars
Mardi Gras
Springtime in Paris
Night in Times Square
Undecided
Hence, the area of the sector of An Evening of Stars is 0.34 in2, Mardi Gras is 1.00 in2, Springtime in Paris is 0.25 in2, Night in Times Square is 1.47 in2 and Undecided is 0.06 in2.
Chapter 11 Solutions
Geometry, Student Edition
Additional Math Textbook Solutions
Thinking Mathematically (6th Edition)
College Algebra (7th Edition)
Introductory Statistics
University Calculus: Early Transcendentals (4th Edition)
Elementary Statistics: Picturing the World (7th Edition)
- Elementary Geometry For College Students, 7eGeometryISBN:9781337614085Author:Alexander, Daniel C.; Koeberlein, Geralyn M.Publisher:Cengage,Elementary Geometry for College StudentsGeometryISBN:9781285195698Author:Daniel C. Alexander, Geralyn M. KoeberleinPublisher:Cengage Learning