## Calculus: Early Transcendentals 8th Edition

The equation for the circle that has Center (-2,-8) and radius 10 is: $(x+2)^{2} + (y+8)^{2}= 100$
Having the general equation of the circle we have: $(x-h)^{2} + (y-k)^{2}= r^{2}$ We know that h is the displacement in the x axis and k is the displacement in the y axis. Then the equation for the circle that has Center (-2,-8) and radius 10 is: $(x+2)^{2} + (y+8)^{2}= 100$