Question

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

Answer 1

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`