Question

The circle below is centered at (-3, 2) and has a radius of 4. What is its
equation?

Answer 1

`\text{Given that,}~ \text{center,(h,k)} = (-3,2)~ \text{and radius}~ r = 4\\\\\text{Equation of circle,}\\\\~~~~~~~(x-h)^2 +(y-k)^2 = r^2\\\\\implies (x+3)^2 +(y-2)^2 = 4^2\\\\\implies (x+3)^2 +(y-2)^2 = 16`