Question

This circle is centered at the point (4,5) and the length of its radius is 3. What is the equation of the circle

Answer 1

$\bf \textit{equation of a circle}\\\\ (x-{{ h}})^2+(y-{{ k}})^2={{ r}}^2 \qquad \begin{array}{lllll} center\ (&{{ h}},&{{ k}})\qquad radius=&{{ r}}\\ &4&5&3 \end{array} \\\\\\ (x-4)^2+(y-5)^2=3^2\implies (x-4)^2+(y-5)^2=9$