Question

The gerneral form of the equation of a circle is x^2 + y^2 + 8x + 22y + 37=0

Answer 1

(x+4)² +(y+11)²=10²

What is equation of circle?

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

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