(a)
To find : The equation related to
The required equation is
Given information :
A circular walkway is to be built around a statue in a park. There is enough concrete available for the walkway to have an area of
Explanation :
Let the inside and outside radii of the walkway be
The following diagram shows the situation:
The area of the walkway is the area of the region bounded by outer circle of radius
Since the area for the walkway is
The required equation is
(b)
To find : Four possible pairs of dimensions that satisfy the given equation.
The four possible dimensions are
Given information :
A circular walkway is to be built around a statue in a park. There is enough concrete available for the walkway to have an area of
Explanation :
From the equation
Substitute
Therefore, four possible dimensions are
(c)
To graph : The given equation.
Given information :
A circular walkway is to be built around a statue in a park. There is enough concrete available for the walkway to have an area of
Graph :
The graph of the equation
Interpretation :
Since
(d)
To explain : The change in the width of the walkway if both
When both
Given information :
A circular walkway is to be built around a statue in a park. There is enough concrete available for the walkway to have an area of
Explanation :
Given:
When both
Chapter 8 Solutions
Holt Mcdougal Larson Algebra 2: Student Edition 2012
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