<u>Given:</u>
A circle with its center at (0, -3).
<u>To find:</u>
The standard equation for the given circle.
<u>Solution:</u>
The standard form of a circle is , where (h, k) is the center of the circle and r is the radius of the circle.
The center of the given circle is at (0, -3).
We need to determine the radius of the circle. The center is at (0, -3) and a point with the same y coordinate is (3, -3).
The radius of the circle units.
So for the given circle, (h, k) is (0, -3) and r is 3 units.
So the equation becomes .
The standard equation for the circle is