Answer:
The answer is:
[tex](x+4)^2+(y-2)^2 = 4[/tex]
Step-by-step explanation:
The equation of a circle:
[tex](x-h)^2+(y-k)^2=r^2[/tex]
Since, you already have the center and the radius, use them for the equation of a circle and it will be written as:
[tex](x+4)^2+(y-2)^2 = 2^2[/tex]
When putting the equation of a circle, the radius needs to be simplified by the exponent [tex]2[/tex]:
[tex](x+4)^2+(y-2)^2 = 4[/tex]
So, you have found the equation of circle.
