Write the equation of each circle with center B(0, −2) that passes through (−6, 0)

Step 1: Note down the given center and points.
NOTE: Assume that (x, y) are the coordinates of a point on the circle shown. The center is at (h,k), and the radius is r.
Step 2: Calculate the given circle radius
NOTE: Radius = distance between center and point on the surface of the circle. So, use the Distance formula to find the equation of the circle.
d\ =\ \sqrt{\left(x_{2\ }-\ x_1\right)^2\ +\ \left(y_{2\ }\ -\ y_1\right)^2}\
EXAMPLE:Given points (2, 1)(10, 7)
r\ =\ \sqrt{\left(10\ -\ 2\right)^2\ +\ \left(7-2\right)^2}
r = \sqrt{ 64 - 36}
r =\sqrt{100}
Step 3: Substitute this values in the equation of a circle.
NOTE: Standard Form for the equation of the circle
(x - h)^2 + (y - k)^2 = r^2
Where center (h, k) and r- radius
EXAMPLE: (x-2)_{\ \ }^2+(y-1)^2=\ 100
Step 4: Simplify the equation further