Question

Identify the center and the radius of each circle. C. X^2+2x+1+y^2+4y+4=9

Answer 1

Answer:

$Center =(-1,\: -2),\: radius = 3\: units$

Step-by-step explanation:

• $x^2 +2x + +1 + y^2++4y+4=9$ (Given equation of circle)

• $\implies (x^2 +2x + +1) + (y^2++4y+4)=(3)^2$

• $\implies (x+1)^2 + (y+2)^2=(3)^2$

• Comparing the above equation with standard form of circle i.e. $(x-h)^2+(y-k)^2=r^2$, we find:

• $h=-1, \: k = -2,\: r = 3$

• $Center =(h, \: k )=(-1,\: -2),\: radius = 3$