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Concept explainers
(a)
To find: the center of the circle
(a)
![Check Mark](/static/check-mark.png)
Answer to Problem 65AYU
The center
Explanation of Solution
Explanations:
The standard equation of a circle with center
The center
Conclusion:
The center
(b)
To find: the equation of the circle
(b)
![Check Mark](/static/check-mark.png)
Answer to Problem 65AYU
The equation of the circle becomes
Explanation of Solution
Given:The radius of the circle is
Explanations:
The standard equation of a circle with center
If the point
The equation of the circle becomes
Conclusion:
Thus,The equation of the circle becomes
(c)
To find: the equation of the circle
(c)
![Check Mark](/static/check-mark.png)
Answer to Problem 65AYU
The equation of the circle becomes
Explanation of Solution
Given:The radius of the circle is
Explanations:
The standard equation of a circle with center
If the point
The equation of the circle becomes
Conclusion:
Thus the equation of the circle becomes
(d)
To find: the equation of the circle
(d)
![Check Mark](/static/check-mark.png)
Answer to Problem 65AYU
The equation of the circle becomes
Explanation of Solution
Given:The radius of the circle is
Explanations:
The standard equation of a circle with center
If the point
The equation of the circle becomes
Conclusion:
Thus the equation of the circle becomes
(e)
To find: the coordinates of two points
(e)
![Check Mark](/static/check-mark.png)
Answer to Problem 65AYU
The coordinates of two points are
Explanation of Solution
Given:Radius of a Circle is 5
Explanations:
A center
Now, the graph of a whose center is at
Also, solving the equation of the circle
Conclusion:
Thus, the coordinates of two points are
(f)
To find: three points with integer coordinates
(f)
![Check Mark](/static/check-mark.png)
Answer to Problem 65AYU
Explanation of Solution
Given:center
Explanations:
Suppose we have a center
Now, the graph of a circle whose center is at
A circle is symmetry about the center, vertical line through the center of the circle and horizontal line through the center of the circle.
Now, for circle with center
Taking
Conclusion:
Thus, the three points
Chapter 1 Solutions
Precalculus
Additional Math Textbook Solutions
Precalculus
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (4th Edition)
Precalculus Enhanced with Graphing Utilities (7th Edition)
Glencoe Math Accelerated, Student Edition
University Calculus: Early Transcendentals (4th Edition)
Thomas' Calculus: Early Transcendentals (14th Edition)
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