Answer:
.
Explanation:
Let denote the center of this circle. Let () denote the radius of this circle. The equation of this circle would be:
Expand to obtain an equivalent equation:
Since this equation and the given equation describe the same circle, their corresponding coefficients should match.
Notice that the coefficients of and in this equation are both . However, the corresponding coefficients in the given equation are both . Thus, divide both sides of the given equation by to match the coefficients of the and terms:
The constants should also match. Thus:
Substitute in and ; given that , the value of would be:
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