What is the equation of the circle with the center (-5, 3) and radius of 4?

1 Answer
Apr 22, 2018

Answer:

See explanation

Explanation:

The equation of a circle is:
#(x – h)^2 + (y – k)^2 = r^2#

Where the center of the circle is #(h,k)# which correlates to #(x,y)#

Your center is given at #(-5,3)#, so plug these values into the equation above

#(x + 5)^2 + (y – 3)^2 = r^2#

Since your #x# value is negative, the minus and negative cancel out to make it #(x + 5)^2#

The #r# in the equation equals the radius, which is given at a value of #4#, so plug that into the equation

#(x + 5)^2 + (y – 3)^2 = 4^2#