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

1 Answer
Apr 22, 2018

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