a circle has the equation

Question

x^2+y^2+6x-6y-46=0

find the center and the radius of the euation. If there are any intercepts list them.

Answer 1

(x+3)^2 + (y-3)^2 = 64 = R^2

The origin is at x=-3 and y=3, and the radius is R=8

For the y intercept, set x=0 in the original equation and solve for y. For the x intercept, set y = 0 and solve for x.