The center of the circle is (-1,-2) and the radius of the circle is 5units.General Circle Equation is (x - h)² + (y - k)² = r² Where (h, k) is the center points, r denotes the radius.
According to the question,
[tex]x^{2} + 2x +y^{2} + 4y = 20[/tex]
[tex]x^{2} + 2x + 1^{2} - 1^{2} + y^{2} + 4y + 2^{2} - 2^{2} = 20\\ (x+1)^{2} -1 +(y+2)^{2} -4 = 0 \\\\[/tex]
[tex](x+1)^{2} + (y+2)^{2} = 20+5\\ (x+1)^{2} + (y+2)^{2} = 25 \[/tex]
Using General Circle Equation is (x - h)² + (y - k)² = r² Where (h, k) is the center points, r denotes the radius. The center of the circle is (-1,-2) and the radius of the circle is 5units.
Hence, the center of the circle is (-1,-2) and the radius of the circle is 5units.
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