(a)
To write: An equation that models the largest circle, if the common center of the circles is located at the origin.
(a)
Answer to Problem 43E
Explanation of Solution
Given information: Sports: Cindy is taking an archery class and decides to practice her skills at home. She attaches the target shown at right to a bale of hay; the circles on the target are concentric and equally spaced apart.
Calculation:
The diameter would be 24 in,
So the radius would be 12 in.
Centering at the origin gives us:
(b)
To find: The area of the region B , if the smallest circle is modeled by the equation
(b)
Answer to Problem 43E
Explanation of Solution
Given information: Sports: Cindy is taking an archery class and decides to practice her skills at home. She attaches the target shown at right to a bale of hay; the circles on the target are concentric and equally spaced apart.
Calculation:
Since the outside circles are “evenly spaced”,
This means:
This means the radius of the middle circle is
The area of region B = Area B − Area A
Chapter 10 Solutions
Advanced Mathematical Concepts: Precalculus with Applications, Student Edition
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