ANSWER
False
EXPLANATION
The equation of a circle is:
[tex](x-x_0)^2+(y-y_0)^2=r^2[/tex]Where (x0, y0) is the center of the circle and r is the radius.
If we have the equation of a circle:
[tex]x^2+(y-2)^2=12[/tex]x0 = 0 and y0 = 2. Therefore the center of the circle is at point (0, 2). Also, we have that:
[tex]r^2=12[/tex]Solving for r, the radius of this circle is:
[tex]r=\sqrt[]{12}[/tex]Therefore, it is false that the radius of the given circle is 12.
