Question

A circle is centered at the point (3, 2) and the length of the radius is 5. What is the equation of the circle?

Answer 1

$\bf \textit{equation of a circle}\\\\ (x- h)^2+(y- k)^2= r^2 \qquad center~~(\stackrel{3}{ h},\stackrel{2}{ k})\qquad \qquad radius=\stackrel{5}{ r} \\\\\\ (x-3)^2+(y-2)=5^2\implies (x-3)^2+(y-2)=25$