# What is the standard form of the equation of a circle with radius 6 and center (2,4)?

Mar 19, 2018

${\left(x - 2\right)}^{2} + {\left(y - 4\right)}^{2} = {6}^{2}$

#### Explanation:

The standard equation of a circle of radius $r$ and centre $\left(a , b\right)$ is given by:

${\left(x - a\right)}^{2} + {\left(y - b\right)}^{2} = {r}^{2}$

So a circle with radius $6$ and center $\left(2 , 4\right)$ is given by:

${\left(x - 2\right)}^{2} + {\left(y - 4\right)}^{2} = {6}^{2}$