QuestionSketch the graph of the following circle. $$x^{2}+(y-3)^{2}=36$$ (a) Find the center of the circle. (b) Find the radius of the circle. (c) Graph the circle. (a) Find the center of the circle. $\square$ (Type an ordered pair.)

Studdy Solution
To sketch the graph of the circle, plot the center $(0, 3)$ and draw a circle with radius $6$ units around this center.
The graph will be a circle centered at $(0, 3)$ with all points on the circle being 6 units away from the center.
$\boxed{(0, 3)}$
The center of the circle is $(0, 3)$ and the radius is $6$. The graph should reflect these properties.