Question

Find the equation of the circle shown

Answer 1

Check the picture below.

`\textit{equation of a circle}\\\\ (x- h)^2+(y- k)^2= r^2 \hspace{5em}\stackrel{center}{(\underset{-5}{h}~~,~~\underset{5}{k})}\qquad \stackrel{radius}{\underset{5}{r}} \\\\[-0.35em] ~\dotfill\\\\ ( ~~ x - (-5) ~~ )^2 ~~ + ~~ ( ~~ y-5 ~~ )^2~~ = ~~5^2\implies \boxed{(x+5)^2 +(y-5)^2 = 25}`