SOLUTION: Ordered pairs (0,2), (4,0), and (-4,0) are points on a circle. What is the radius of the circle, and what is the center point of the circle. I don't want to be given the answer

Algebra ->  Coordinate-system -> SOLUTION: Ordered pairs (0,2), (4,0), and (-4,0) are points on a circle. What is the radius of the circle, and what is the center point of the circle. I don't want to be given the answer       Log On


   



Question 262671: Ordered pairs (0,2), (4,0), and (-4,0) are points on a circle. What is the radius of the circle, and what is the center point of the circle.
I don't want to be given the answer directly, I just want to know what formulas I should be using to solve this problem. I have tried using the distance formula to get the distance between (0,2) and either of the x intercepts. I tried finding the Y intercepts by replacing both X points in the circle equation, %28x-k%29%5E2%2B%28y-h%29%5E2=r%5E2 where (k,h) is the midpoint of the circle and r is the radius. I just need to figure out what the other y intercept is and I can answer the question, but I don't know how to figure it out. Please help.

Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
So what did you get when you used the distance formula?
http://www.mathopenref.com/const3pointcircle.html
This shows you how to do it on paper you have to do it with algebra.