The center of a circle is at (-2, 3) and it has a radius of 3. What is the equation of the circle?
Standard Equation of a Circle:
#(x+2)^2 + (y-3)^2 = 9 #
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#