Answer:
[tex]Center =(-1,\: -2),\: radius = 3\: units[/tex]
Step-by-step explanation:
- [tex] x^2 +2x + +1 + y^2++4y+4=9[/tex] (Given equation of circle)
- [tex]\implies (x^2 +2x + +1) + (y^2++4y+4)=(3)^2[/tex]
- [tex]\implies (x+1)^2 + (y+2)^2=(3)^2[/tex]
- Comparing the above equation with standard form of circle i.e. [tex](x-h)^2+(y-k)^2=r^2[/tex], we find:
- [tex]h=-1, \: k = -2,\: r = 3[/tex]
- [tex]Center =(h, \: k )=(-1,\: -2),\: radius = 3[/tex]
