SOLUTION: Find the radius of the circle using these three points:(-13,3),(1,3),(-6,10) and center (-6,3). I thought maybe you put them in separate equations and solve but I have no idea, pl

Algebra ->  Coordinate-system -> SOLUTION: Find the radius of the circle using these three points:(-13,3),(1,3),(-6,10) and center (-6,3). I thought maybe you put them in separate equations and solve but I have no idea, pl      Log On


   

Question 372540: Find the radius of the circle using these three points:(-13,3),(1,3),(-6,10) and center (-6,3).
I thought maybe you put them in separate equations and solve but I have no idea, please help.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
If you have a point on the circle and you have the center of the circle, then the distance from the point to the center is equal to the radius of the circle.
Use the distance formula,
R%5E2=%28x%5B2%5D-x%5B1%5D%29%5E2%2B%28y%5B2%5D-y%5B1%5D%29%5E2
Any of the points and the center will work.
I'll use (1,3) and the center (-6,3)
R%5E2=%281-%28-6%29%29%5E2%2B%283-3%29%5E2
R%5E2=%287%29%5E2%2B%280%29%5E2
highlight%28R=7%29
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