# What is the equation of the circle center (-2,4) and radius 7?

Jan 9, 2016

${\left(x + 2\right)}^{2} + {\left(y - 4\right)}^{2} = 49$

#### Explanation:

the standard form of the equation of a circle is :

${\left(x - a\right)}^{2} + {\left(y - b\right)}^{2} = {r}^{2}$
where (a , b ) represent the coordinates of the centre and r = radius.

in the given question (a , b ) = (- 2 , 4 ) and r = 7

the equation of the circle is : ${\left(x + 2\right)}^{2} + {\left(y - 4\right)}^{2} = 49$