Find the distance between the points. Give the equation of the circle with center at (-4,2) and radius 6.

Question

College Algebra

Answer 1

Hello, thank you for taking the time to post your question!

The standard equation of a circle is given by the equation

(x – h)^2 + (y – k)^2 = r^2

So it’s just a matter of plugging in the center (-4,2) and the radius = 6 into that equation

(x + 4)^2 + (y – 2)^2 = 6^2

(x + 4)^2 + (y – 2)^2 = 36

I hope that helps you get moving in a better direction on this type of question! Feel free to reach out if you have any additional questions beyond that :)

Answer 2

The equation of a circle is (x - h)² + (y - k)² = r², with (h,k) as the center and r the radius.
In order to write an equation of a circle you must have both the center and the radius. In this problem, you were already given both, so you can just plug them in.

(x - (-4))² + (y - 2)² = (6)² which simplifies to:  (x + 4)² + (y - 2)² = 36