Find an equation of the circle that has center (-6,-6) and passes through (-4,1)

Answer 1

(x - h)² + (y - k)² = r²

h = -6

k = -6

Plug these numbers into the equation above. To get r², use the distance formula for the distance between (-6,-6) and (-4,1).

r² = [-6 - (-4)]² + (-6 - 1)²

Evaluate r², plug it into the equation above (along with h and k), and you are done.