# What is the standard form of the equation of a circle with center (-2,3) and whose radius is 5?

Jan 10, 2016

Using the standard form for a circle with radius $r$ ...

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

where, center $= \left(h , k\right)$

#### Explanation:

Now fill in the values from the problem ...

${\left(x + 2\right)}^{2} + {\left(y - 3\right)}^{2} = {5}^{2} = 25$

hope that helped