Question

What is the equation of a circle with center (-4,7) and radius 6

Answer 1

(x + 4)² + (y - 7)² = 36

Explanation:

The equation of a circle is

(x - h)² + (y - k)² = r² where (h,k) is the center, and r is the radius

Plug in what you were given, and simplify...

(x - (-4))² + (y - 7)² = 6²

(x + 4)² + (y - 7)² = 36