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Answer:
The answer is
<h3>center = ( - 7 , - 1)</h3><h3>radius = 6</h3>Step-by-step explanation:
The general equation of a circle is given by
<h3>x² + y² + 2gx + 2fy + c = 0</h3>where the center of the center of the circle is given by
<h3>( - g , - f)</h3>From the question the equation is
x² + y² + 14x + 2y + 14 = 0
Comparing with the general equation above we have
2g = 14 2f = 2
g = 7 f = 1 c = 14
So the center of the circle is
<h3>( - 7 , - 1)</h3>The radius of a circle is given by
where
g = 7
f = 1
c = 14
Substitute the values into the above formula
That's
we have the final answer as
<h3>radius = 6</h3>Hope this helps you