(a)
To write: an equation that relates
(a)
Answer to Problem 4CA
The required equation is
Explanation of Solution
Given:
Formula Used:
The arc length of sector is
Calculation:
Use the formula for arc length of sector
Are length =
Conclusion:
The required equation is
(b)
To write: an equation that relates
(b)
Answer to Problem 4CA
The required equation is
Explanation of Solution
Calculation:
Use the formula for arc length of sector
Are length =
Conclusion:
The required equation is
(c)
To solve: the system of equation for
(c)
Answer to Problem 4CA
The required result is
Explanation of Solution
Calculation:
To solve the system of equations from part (a) and (b), that is the system
First solve
Now, substitute this value in
Then,
Conclusion:
The required result is
(d)
To find: the amount of fabric that used to make the lampshade.
(d)
Answer to Problem 4CA
The amount of fabric needed is 298.45 square inches of fabric.
Explanation of Solution
Calculation:
The angle of the sector in radians is
Area of the larger sector
Area of smaller sector
Thus, area of the lampshade is
Thus, the amount of fabric needed is 298.45 square inches of fabric.
Conclusion:
Thus, the amount of fabric needed is 298.45 square inches of fabric.
Chapter 11 Solutions
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