(a)
The values of Circumference and Area of
(a)
Answer to Problem 23PPS
Radius ‘r’ | ‘C’ = | ‘A’= |
1 | 6.28 | 3.14 |
2 | 12.56 | 12.56 |
3 | 18.84 | 28.26 |
4 | 25.12 | 50.24 |
5 | 31.4 | 78.5 |
Explanation of Solution
Given:
Area of Circle ‘A’=
Circumference of Circle ‘C’ =
Calculation:
The given table can be completed as:
Radius ‘r’ | ‘C’ = | ‘A’= |
1 | 6.28 | 3.14 |
2 | 12.56 | 12.56 |
3 | 18.84 | 28.26 |
4 | 25.12 | 50.24 |
5 | 31.4 | 78.5 |
(b)
The graph whose ordered pairs are (r, C)
(b)
Answer to Problem 23PPS
Explanation of Solution
Given:
Area of Circle ‘A’=
Circumference of Circle ‘C’ =
Calculation:
The given table can be completed as:
Radius ‘r’ | ‘C’ = | ‘A’= |
1 | 6.28 | 3.14 |
2 | 12.56 | 12.56 |
3 | 18.84 | 28.26 |
4 | 25.12 | 50.24 |
5 | 31.4 | 78.5 |
The ordered pairs (r, C) will be:
The graph will be of the ordered pairs (r, C) will be:
(c)
The graph whose ordered pairs are (r, A)
(c)
Answer to Problem 23PPS
Explanation of Solution
Given:
Area of Circle ‘A’=
Circumference of Circle ‘C’ =
Calculation:
The given table can be completed as:
Radius ‘r’ | ‘C’ = | ‘A’= |
1 | 6.28 | 3.14 |
2 | 12.56 | 12.56 |
3 | 18.84 | 28.26 |
4 | 25.12 | 50.24 |
5 | 31.4 | 78.5 |
The ordered pairs (r, A) will be:
The graph will be of the ordered pairs (r, A) will be:
(d)
Whether any of the graph in sub-part (b) and (c) represent a linear relationship
(d)
Answer to Problem 23PPS
Circumference graph is a linear graph
m = 6.28
Explanation of Solution
Given:
Area of Circle ‘A’=
Circumference of Circle ‘C’ =
Calculation:
The equation for the circumference of circle is linear because it is in the form
The slope will be calculated from this table:
Radius ‘r’ | ‘C’ = |
1 | 6.28 |
2 | 12.56 |
3 | 18.84 |
4 | 25.12 |
5 | 31.4 |
The equation for the area of circle is not linear because it is not in the form
Chapter 9 Solutions
Pre-Algebra, Student Edition
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