(a)
Find the coordinate of the center of the
(a)
Answer to Problem 17STP
The coordinate of the center is (2, − 4)
Explanation of Solution
Given:
The end points of a diameter of a circle are at (− 1, 0) and (5, − 8),
What are the coordinate of the center of the circle? Explain your method.
Concept Used:
Using mid − point theorem
Let
Calculation:
Using mid − point theorem
Let
Coordinates of the center:
Thus, coordinate of the center is (2, − 4)
(b)
Find the radius of the circle. Explain your method.
(b)
Answer to Problem 17STP
The radius is 5.
Explanation of Solution
Given:
The end points of a diameter of a circle are at (− 1, 0) and (5, − 8)
Find the radius of the circle. Explain your method.
Concept Used:
Here we are using the distance formula. Distance between two points:
Calculation:
Thus, the radius is 5.
(c)
Write an equation of the circle
(c)
Answer to Problem 17STP
The equation of circle is:
Explanation of Solution
Given:
The end points of a diameter of a circle are at (− 1, 0) and (5, − 8),
Write an equation of the circle.
Concept Used:
Equation of circle:
Calculation:
Equation of circle:
Thus, the equation of circle is:
Chapter 10 Solutions
Glencoe Algebra 2 Student Edition C2014
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