# What is the equation of the circle with a center at (2 ,5 ) and a radius of 6 ?

Apr 7, 2018

${\left(x - 2\right)}^{2} + {\left(y - 5\right)}^{2} = 36$

#### Explanation:

The standard equation of a circle with center at $\left(h , k\right)$ and radius $r$ is given by

${\left(x - h\right)}^{2} + {\left(y - k\right)}^{2} = {r}^{2.}$ We're given $\left(h , k\right) = \left(2 , 5\right) , r = 6$

So, the equation is

${\left(x - 2\right)}^{2} + {\left(y - 5\right)}^{2} = {6}^{2}$

${\left(x - 2\right)}^{2} + {\left(y - 5\right)}^{2} = 36$