# The center of a circle is at (-2, 3) and it has a radius of 3. What is the equation of the circle?

##### 2 Answers

Feb 14, 2016

#### Explanation:

Standard Equation of a Circle:

where

Feb 14, 2016

#(x+2)^2 + (y-3)^2 = 9 #

#### Explanation:

the standard form of the equation of a circle is

# (x-a)^2 + (y-b)^2 = r^2#

where (a , b) are the coords of the centre and r , the radius.here (a , b ) = ( -2 , 3 ) and r = 3

substitute these values into the equation to obtain

#(x+2)^2 + (y-3)^2 = 9#