Question

Write the equation in standard form for the circle with center (0, -6) and radius 7.

Answer 1

Step-by-step explanation:

the equation of circle is given by

$(x - h) {}^{2} + (y - k) {}^{2} = {r}^{2} \\ (x - 0) {}^{2} + {(y + 6)}^{2} = {7}^{2} \\ {x }^{2} + {y}^{2} + 12y + 36 = 49 \\ {x }^{2} + {y}^{2} + 12y = 13$