# Circle has the equation  (x-2)^2 + (y-5)^2=100, how do you graph the circle using the center (h,k) radius r?

Dec 19, 2015

Draw a circle with center $\left(2 , 5\right)$ and radius $10$

#### Explanation:

The general equation for a circle centered at $\left(\textcolor{red}{h} , \textcolor{b l u e}{k}\right)$ with radius $\textcolor{g r e e n}{r}$ is:
$\textcolor{w h i t e}{\text{XXX}} {\left(x - \textcolor{red}{h}\right)}^{2} + {\left(y - \textcolor{b l u e}{k}\right)}^{2} = {\textcolor{g r e e n}{r}}^{2}$

${\left(x - \textcolor{red}{2}\right)}^{2} + {\left(y - \textcolor{b l u e}{5}\right)}^{2} = {\textcolor{g r e e n}{10}}^{2} \left(= 100\right)$
is in this form.
graph{(x-2)^2+(y-5)^2=100 [-18.53, 27.07, -7.23, 15.57]}