Question

1. Write the equation of a circle with a radius of 14 and the center at (-5, 9).

Answer 1

`\textit{equation of a circle}\\\\ (x- h)^2+(y- k)^2= r^2 \hspace{5em}\stackrel{center}{(\underset{-5}{h}~~,~~\underset{9}{k})}\qquad \stackrel{radius}{\underset{14}{r}} \\\\[-0.35em] ~\dotfill\\\\ ( ~~ x - (-5) ~~ )^2 ~~ + ~~ ( ~~ y-9 ~~ )^2~~ = ~~14^2\implies (x+5)^2 + (y-9)^2=196`