Answer:
The center of the circle is ( - 2,4)
Given :
The equation of a circle is x² + y² + 4x - 8y + 11 = 0
To find :
The center of the circle
Formula :
The equation of any circle with center (h,k) and of radius r is
(x - h)² + (y - k)² = r²
Solution :
Step 1 of 2 :
Write down the given equation of the circle
Here the given equation of the circle is
x² + y² + 4x - 8y + 11 = 0
Step 2 of 2 :
Find center of the circle
Which is of the form (x - h)² + (y - k)² = r²
Where h = - 2 , k = 4 , r = 3
Hence center of the circle is ( - 2,4)