Answer: x² + y² + 22x + 16y + 169 = 0
Step-by-step explanation:
Equation of a circle with center (a,b) , and radius r i.e center is not the origin
The equation becomes
( x - a )² + ( y - b )² = r² ------------------------------ 1
a = -11, b = -8
[( x - (-11 )]² + [( y - (-8)]² = 4²
( x + 11 )² + ( y + 8 )² = 4²
Carry out expansion
x² + 22x + 121 + y² + 16y + 64 = 16
Rearrange the expression,
x² + y² + 22x + 16y + 121 + 64 - 16 = 0
x² + y² + 22x + 16y + 169 = 0
The equation of the circle is
x² + y² + 22x + 16y + 169 = 0
