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1 year ago

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

Mathematics

1 answer:

Natalija [7]1 year ago

3 0

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:

$h=-1, \: k = -2,\: r = 3$

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

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