# Which is an equation of the circle with a radius of 9 units and center at (-4,2)?

${\left(x + 4\right)}^{2} + \left(y - 2\right) = 81$

#### Explanation:

This is the center radius form

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

with the given radius $r = 9$ and center at $\left(- 4 , 2\right)$

${\left(x - - 4\right)}^{2} + {\left(y - 2\right)}^{2} = {9}^{2}$

${\left(x + 4\right)}^{2} + {\left(y - 2\right)}^{2} = 81$

God bless....I hope the explanation is useful.