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A circle has its center at (-1, 2) and a radius of 3 units. What is the equation of the circle?

(x - 1)2 + (y + 2)2 = 3

(x + 1)2 + (y - 2)2 = 3

(x + 1)2 + (y + 2)2 = 9

(x + 1)2 + (y - 2)2 = 9

Respuesta :

caylus
Hello,

Answer D

(x+1)²+(y-2)²=9
SociometricStar

Answer:

[tex](x+1)^2+(y-2)^2=9[/tex]

last option is correct.

Step-by-step explanation:

We have been given that

Center: (-1,2)

Radius :  3 units

We know that the standard form of the circle is given by

[tex](x-h)^2+(y-k)^2=r^2[/tex]

Here, h = -2, k = 2, and r=3

Substituting these values in the above formula, we get

[tex](x+1)^2+(y-2)^2=3^2\\\\(x+1)^2+(y-2)^2=9[/tex]

Therefore, last option is correct.

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