Find the equation of a circle with center at (-6, 4) and radius length 50. Then, give the domain and range of the relation. Give the answer in the simplest radical form, NOT IN DECIMAL FORM.

Answer 1

The equation of a circle with center at (h,k) and radius r is given by:

(x - h)^2 + (y - k)^2 = r^2

In this case, h = -6, k = 4, and r = 50. Substituting these values into the equation, we get:

(x + 6)^2 + (y - 4)^2 = 2500

The domain of this relation is all real numbers, since x can take on any value.
The range of this relation is also all real numbers, since y can take on any value.