SOLUTION: Hello, I need help with the following math problem: The points (0,4) and (1,3) lie on a circle whose center is on the {{{ x }}}-axis. What is the radius of the circle? Tha

Algebra ->  Coordinate-system -> SOLUTION: Hello, I need help with the following math problem: The points (0,4) and (1,3) lie on a circle whose center is on the {{{ x }}}-axis. What is the radius of the circle? Tha      Log On


   

Question 1042661: Hello,
I need help with the following math problem:
The points (0,4) and (1,3) lie on a circle whose center is on the +x+-axis. What is the radius of the circle?
Thank you,
Nicole
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Use the general equation of a circle centered at (x,0) and use the two points.
%28x-0%29%5E2%2B%280-4%29%5E2=R%5E2
x%5E2%2B16=R%5E2
and
%28x-1%29%5E2%2B%280-3%29%5E2=R%5E2
%28x-1%29%5E2%2B9=R%5E2
Set them equal to each other,
x%5E2%2B16=%28x-1%29%5E2%2B9
x%5E2%2B16=x%5E2-2x%2B1%2B9
-2x%2B10=16
-2x=6
x=-3
Then solve for R,
%28-3%29%5E2%2B16=R%5E2
R%5E2=9%2B16
R%5E2=25
R=5
.
.
.
.