To find: the center and radius of each circle and graph the circle.
Answer to Problem 24RE
The center of the circle
Explanation of Solution
Given:
Calculation:
Group the terms containing x and the terms containing y . Bring the constant to theright side of the equation.
Express the terms within the parentheses as perfect squares. Any number added on the left-hand side must be added on the right-hand side also.
Factor the expression.
The standard equation of a circle with center
Compare the equation
Therefore, the center of the circle
The center of the circle is at the point
Substitute
Subtract 1 from both the sides.
Use the square root method.
Solve for x,
The x -intercepts are
Substitute
Subtract 4 from both the sides.
Use the square root method.
The y - intercepts are
Conclusion:
Therefore, the center of the circle
Chapter 1 Solutions
Precalculus
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