(x+4)² +(y+11)²=10²
<h3>What is equation of circle?</h3>
The general equation for a circle is ( x - h )² + ( y - k )² = r², where ( h, k ) is the center and r is the radius.
given: x²+ y² + 8x + 22y + 37=0
As, the general equation for a circle is ( x - h )² + ( y - k )² = r².
x²+ y² + 2*4x + 2*11y + 37=0
x²+ y² + 2*4x + 2*11y +121+16-100=0
x²+ 2*4x +16 + y² + 2*11y + 121 =100
(x+4)² +(y+11)²=10²
Learn more about equation of circle here:
brainly.com/question/10618691
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